# Measurement and Geometry: Perimeter and Circumference of Geometric Figures

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 OpenStax-CNX module: m Measurement and Geometry: Perimeter and Circumference of Geometric Figures Wade Ellis Denny Burzynski This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 Abstract This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses perimeter and circumference of geometric gures. By the end of the module students should know what a polygon is, know what perimeter is and how to nd it, know what the circumference, diameter, and radius of a circle is and how to nd each one, know the meaning of the symbol π and its approximating value and know what a formula is and four versions of the circumference formula of a circle. 1 Section Overview Polygons Perimeter Circumference/Diameter/Radius The Number π Formulas 2 Polygons We can make use of conversion skills with denominate numbers to make measurements of geometric gures such as rectangles, triangles, and circles. To make these measurements we need to be familiar with several denitions. Polygon A polygon is a closed plane (at) gure whose sides are line segments (portions of straight lines). Polygons Version 1.2: Aug 18, :40 pm

2 OpenStax-CNX module: m Not polygons 3 Perimeter Perimeter The perimeter of a polygon is the distance around the polygon. To nd the perimeter of a polygon, we simply add up the lengths of all the sides. 3.1 Sample Set A Find the perimeter of each polygon. Example 1 Perimeter = 2 cm + 5 cm + 2 cm + 5 cm Example 2 = 14 cm Perimeter = 3.1 mm 4.2 mm 4.3 mm 1.52 mm 5.4 mm +9.2 mm mm

3 OpenStax-CNX module: m Example 3 Our rst observation is that three of the dimensions are missing. However, we can determine the missing measurements using the following process. Let A, B, and C represent the missing measurements. Visualize A = 12m 2m = 10m B = 9m + 1m 2m = 8m C = 12m 1m = 11m Perimeter = 8 m 10 m 2 m 2 m 9 m 11 m 1 m + 1 m 44 m 3.2 Practice Set A Find the perimeter of each polygon. Exercise 1 (Solution on p. 12.)

4 OpenStax-CNX module: m Exercise 2 (Solution on p. 12.) Exercise 3 (Solution on p. 12.) 4 Circumference/Diameter/Radius Circumference The circumference of a circle is the distance around the circle. Diameter A diameter of a circle is any line segment that passes through the center of the circle and has its endpoints on the circle. Radius A radius of a circle is any line segment having as its endpoints the center of the circle and a point on the circle. The radius is one half the diameter. 5 The Number π The symbol π, read "pi," represents the nonterminating, nonrepeating decimal number This number has been computed to millions of decimal places without the appearance of a repeating block of digits. For computational purposes, π is often approximated as We will write π 3.14 to denote that π is approximately equal to The symbol " " means "approximately equal to."

5 OpenStax-CNX module: m Formulas To nd the circumference of a circle, we need only know its diameter or radius. We then use a formula for computing the circumference of the circle. Formula A formula is a rule or method for performing a task. In mathematics, a formula is a rule that directs us in computations. Formulas are usually composed of letters that represent important, but possibly unknown, quantities. If C, d, and r represent, respectively, the circumference, diameter, and radius of a circle, then the following two formulas give us directions for computing the circumference of the circle. Circumference Formulas 1. C = πd or C (3.14) d 2. C = 2πr or C 2 (3.14) r 6.1 Sample Set B Example 4 Find the exact circumference of the circle. Use the formula C = πd. C = π 7in. By commutativity of multiplication, C = 7in. π C = 7πin., exactly This result is exact since π has not been approximated. Example 5 Find the approximate circumference of the circle. Use the formula C = πd. C (3.14) (6.2) C mm This result is approximate since π has been approximated by Example 6 Find the approximate circumference of a circle with radius 18 inches. Since we're given that the radius, r, is 18 in., we'll use the formula C = 2πr. C (2) (3.14) (18 in.)

6 OpenStax-CNX module: m C in. Example 7 Find the approximate perimeter of the gure. We notice that we have two semicircles (half circles). The larger radius is 6.2 cm. The smaller radius is 6.2 cm cm = 4.2 cm. The width of the bottom part of the rectangle is 2.0 cm. Perimeter = 2.0 cm Perimeter 2.0 cm 5.1 cm 2.0 cm 5.1 cm (0.5) (2) (3.14) (6.2 cm) Circumference of outer semicircle. + (0.5) (2) (3.14) (4.2 cm) Circumference of inner semicircle 5.1 cm 2.0 cm 5.1 cm cm cm cm 6.2 cm 2.0 cm = 4.2 cm The 0.5 appears because we want the perimeter of only half a circle. 6.2 Practice Set B Exercise 4 (Solution on p. 12.) Find the exact circumference of the circle.

7 OpenStax-CNX module: m Exercise 5 (Solution on p. 12.) Find the approximate circumference of the circle. Exercise 6 (Solution on p. 12.) Find the approximate circumference of the circle with radius 20.1 m. Exercise 7 (Solution on p. 12.) Find the approximate outside perimeter of 7 Exercises Find each perimeter or approximate circumference. Use π = Exercise 8 (Solution on p. 12.) Exercise 9 Exercise 10 (Solution on p. 12.)

8 OpenStax-CNX module: m Exercise 11 Exercise 12 (Solution on p. 12.) Exercise 13 Exercise 14 (Solution on p. 12.) Exercise 15 Exercise 16 (Solution on p. 12.)

9 OpenStax-CNX module: m Exercise 17 Exercise 18 (Solution on p. 12.) Exercise 19 Exercise 20 (Solution on p. 12.) Exercise 21 Exercise 22 (Solution on p. 12.)

10 OpenStax-CNX module: m Exercise 23 Exercise 24 (Solution on p. 12.) Exercise 25 Exercise 26 (Solution on p. 12.)

11 OpenStax-CNX module: m Exercise Exercises for Review Exercise 28 (Solution on p. 12.) () Find the value of Exercise 29 8 () Find the value of Exercise 30 (Solution on p. 12.) () Convert 7 8 to a decimal. Exercise 31 () What is the name given to a quantity that is used as a comparison to determine the measure of another quantity? Exercise 32 (Solution on p. 12.) () Add 42 min 26 sec to 53 min 40 sec and simplify the result.

12 OpenStax-CNX module: m Solutions to Exercises in this Module Solution to Exercise (p. 3) 20 ft Solution to Exercise (p. 4) 26.8 m Solution to Exercise (p. 4) mi Solution to Exercise (p. 6) 9.1π in. Solution to Exercise (p. 7) mm Solution to Exercise (p. 7) m Solution to Exercise (p. 7) mm Solution to Exercise (p. 7) 21.8 cm Solution to Exercise (p. 7) inches Solution to Exercise (p. 8) 0.86 m Solution to Exercise (p. 8) m Solution to Exercise (p. 8) cm Solution to Exercise (p. 9) cm Solution to Exercise (p. 9) m Solution to Exercise (p. 9) inches Solution to Exercise (p. 10) 43.7 mm Solution to Exercise (p. 10) cm Solution to Exercise (p. 11) 8.5 or 17 2 or Solution to Exercise (p. 11) Solution to Exercise (p. 11) 1 hour 36 minutes 6 seconds

### Calculating Area, Perimeter and Volume

Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly

### 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft

2 MODULE 6. GEOMETRY AND UNIT CONVERSION 6a Applications The most common units of length in the American system are inch, foot, yard, and mile. Converting from one unit of length to another is a requisite

### Name: Class: Date: Geometry Chapter 3 Review

Name: Class: Date: ID: A Geometry Chapter 3 Review. 1. The area of a rectangular field is 6800 square meters. If the width of the field is 80 meters, what is the perimeter of the field? Draw a diagram

### Characteristics of the Four Main Geometrical Figures

Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.

8 th Grade Task 2 Rugs Student Task Core Idea 4 Geometry and Measurement Find perimeters of shapes. Use Pythagorean theorem to find side lengths. Apply appropriate techniques, tools and formulas to determine

### 8-3 Perimeter and Circumference

Learn to find the perimeter of a polygon and the circumference of a circle. 8-3 Perimeter Insert Lesson and Title Circumference Here perimeter circumference Vocabulary The distance around a geometric figure

### Perimeter. 14ft. 5ft. 11ft.

Perimeter The perimeter of a geometric figure is the distance around the figure. The perimeter could be thought of as walking around the figure while keeping track of the distance traveled. To determine

### Tallahassee Community College PERIMETER

Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides

### Geometry - Calculating Area and Perimeter

Geometry - Calculating Area and Perimeter In order to complete any of mechanical trades assessments, you will need to memorize certain formulas. These are listed below: (The formulas for circle geometry

### A = ½ x b x h or ½bh or bh. Formula Key A 2 + B 2 = C 2. Pythagorean Theorem. Perimeter. b or (b 1 / b 2 for a trapezoid) height

Formula Key b 1 base height rea b or (b 1 / b for a trapezoid) h b Perimeter diagonal P d (d 1 / d for a kite) d 1 d Perpendicular two lines form a angle. Perimeter P = total of all sides (side + side

### Decimals: Rounding Decimals

OpenStax-CNX module: m34959 1 Decimals: Rounding Decimals Wade Ellis Denny Burzynski This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 Abstract This

### Line AB (no Endpoints) Ray with Endpoint A. Line Segments with Endpoints A and B. Angle is formed by TWO Rays with a common Endpoint.

Section 8 1 Lines and Angles Point is a specific location in space.. Line is a straight path (infinite number of points). Line Segment is part of a line between TWO points. Ray is part of the line that

### Radius and Diameter of Circles (A)

Radius and Diameter of Circles (A) C=40.841 ft C=57.805 mm C=15.708 ft C=33.929 cm Radius and Diameter of Circles (A) Answers C=40.841 ft C=57.805 mm 6.5 ft 9.2 mm 13.0 ft 18.4 mm C=15.708 ft C=33.929

### Lesson 7: Using Formulas

Lesson 7: Using Formulas Steps for Solving Problems Using a Formula 1. 2. 3. 4. Example 1 Using the formula: Density = mass/volume or D = m/v Find the density of a rock that has a volume of 20 ml with

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 17 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### Solutions Section J: Perimeter and Area

Solutions Section J: Perimeter and Area 1. The 6 by 10 rectangle below has semi-circles attached on each end. 6 10 a) Find the perimeter of (the distance around) the figure above. b) Find the area enclosed

### Fundamentals of Geometry

10A Page 1 10 A Fundamentals of Geometry 1. The perimeter of an object in a plane is the length of its boundary. A circle s perimeter is called its circumference. 2. The area of an object is the amount

### MATH STUDENT BOOK. 7th Grade Unit 9

MATH STUDENT BOOK 7th Grade Unit 9 Unit 9 Measurement and Area Math 709 Measurement and Area Introduction 3 1. Perimeter 5 Perimeter 5 Circumference 11 Composite Figures 16 Self Test 1: Perimeter 24 2.

### In Problems #1 - #4, find the surface area and volume of each prism.

Geometry Unit Seven: Surface Area & Volume, Practice In Problems #1 - #4, find the surface area and volume of each prism. 1. CUBE. RECTANGULAR PRISM 9 cm 5 mm 11 mm mm 9 cm 9 cm. TRIANGULAR PRISM 4. TRIANGULAR

### Name: Perimeter and area November 18, 2013

1. How many differently shaped rectangles with whole number sides could have an area of 360? 5. If a rectangle s length and width are both doubled, by what percent is the rectangle s area increased? 2.

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### Marie has a winter hat made from a circle, a rectangular strip and eight trapezoid shaped pieces. y inches. 3 inches. 24 inches

Winter Hat This problem gives you the chance to: calculate the dimensions of material needed for a hat use circle, circumference and area, trapezoid and rectangle Marie has a winter hat made from a circle,

### Draft copy. Circles, cylinders and prisms. Circles

12 Circles, cylinders and prisms You are familiar with formulae for area and volume of some plane shapes and solids. In this chapter you will build on what you learnt in Mathematics for Common Entrance

### 23. [Perimeter / Area]

3. [Perimeter / rea] Skill 3. Calculating the perimeter of polygons (). MM5. 33 44 MM6. 33 44 Convert all measurements to the same unit. Find and label the length of all sides. dd together all side lengths.

### EXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS

To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires

### LESSON SUMMARY. Measuring Shapes

LESSON SUMMARY CXC CSEC MATHEMATICS UNIT SIX: Measurement Lesson 11 Measuring Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 (Some helpful exercises and page numbers are given

### Geometry Concepts. Figures that lie in a plane are called plane figures. These are all plane figures. Triangle 3

Geometry Concepts Figures that lie in a plane are called plane figures. These are all plane figures. Polygon No. of Sides Drawing Triangle 3 A polygon is a plane closed figure determined by three or more

### The area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2

The area of a figure is the measure of the size of the region enclosed by the figure. Formulas for the area of common figures: square: A = s 2 s s rectangle: A = l w parallelogram: A = b h h b triangle:

### Functional Skills Mathematics

Functional Skills Mathematics Level Learning Resource Perimeter and Area MSS1/L.7 Contents Perimeter and Circumference MSS1/L.7 Pages 3-6 Finding the Area of Regular Shapes MSS1/L.7 Page 7-10 Finding the

### Perimeter, Area, and Volume

Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all

### Arithmetic Review: Equivalent Fractions

OpenStax-CNX module: m2 Arithmetic Review: Equivalent Fractions Wade Ellis Denny Burzynski This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License.0 Abstract This

### Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

### CIRCUMFERENCE AND AREA OF CIRCLES

CIRCUMFERENCE AND AREA F CIRCLES 8..1 8.. Students have found the area and perimeter of several polygons. Next they consider what happens to the area as more and more sides are added to a polygon. By exploring

### Pre-Test. Name Date. 1. A circle is shown. Identify each of the following in the figure. a. the center of the circle. b. a diameter of the circle

Pre-Test Name Date 1. A circle is shown. Q P S R Identify each of the following in the figure. a. the center of the circle b. a diameter of the circle c. three radii of the circle 2. A circle with radius

### Perimeter and area formulas for common geometric figures:

Lesson 10.1 10.: Perimeter and Area of Common Geometric Figures Focused Learning Target: I will be able to Solve problems involving perimeter and area of common geometric figures. Compute areas of rectangles,

### , and it is always a constant for any size circle. See the Math Notes boxes in Lessons 7.1.2, 8.3.2, and A=πr 2 = π ( 8) 2 = 64π sq.

CIRCUMFERENCE AND AREA F CIRCLES 8..1 8.. Students have found the area and perimeter of several polygons. Next they consider what happens to the area as more and more sides are added to a polygon. By exploring

### Teacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.

Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 9-1.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles

### Basic Math for the Small Public Water Systems Operator

Basic Math for the Small Public Water Systems Operator Small Public Water Systems Technology Assistance Center Penn State Harrisburg Introduction Area In this module we will learn how to calculate the

### *1. Understand the concept of a constant number like pi. Know the formula for the circumference and area of a circle.

Students: 1. Students deepen their understanding of measurement of plane and solid shapes and use this understanding to solve problems. *1. Understand the concept of a constant number like pi. Know the

### Area Long-Term Memory Review Review 1

Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter

### Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional

### Perimeter, Circumference, Area and Ratio Long-Term Memory Review

Review 1 1. Which procedure is used to find the perimeter of any polygon? A) Add all the lengths B) Multiply length times width ( l w ) C) Add only one length and one width D) Multiply all of the lengths

### Math 0306 Final Exam Review

Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire

### Applying formulas to measure attributes of shapes

Going the Distance Reporting Category Topic Primary SOL Measurement Applying formulas to measure attributes of shapes 6.10 The student will a) define π (pi) as the ratio of the circumference of a circle

### Florida Department of Education/Office of Assessment January 2012. Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions

Florida Department of Education/Office of Assessment January 2012 Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions Grade 6 FCAT 2.0 Mathematics Reporting Category Fractions, Ratios, Proportional

### Bedford Public Schools

Bedford Public Schools Grade 4 Math The fourth grade curriculum builds on and extends the concepts of number and operations, measurement, data and geometry begun in earlier grades. In the area of number

### CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.

TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has

### Chapter 1 Measurement

Chapter 1 Measurement Math 1201 1 Chapter 1 Measurement Sections 1.1-1.3: Goals: Converting between imperial units by unit analysis Converting between SI units Converting between SI and imperial units

### DATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation

A Multiplying Decimals by Whole Numbers (pages 135 138) When you multiply a decimal by a whole number, you can estimate to find where to put the decimal point in the product. You can also place the decimal

### Area and Circumference of Circles

Teacher Created Materials 21208 Focused Mathematics Student Guided Practice Book of Circles Learning Objectives Geometry Know the formulas for the area and circumference of a circle and use them to solve

### Circumference Bell Ringers

Circumference Bell Ringers 1. A pair of jeans cost 12.99 to make. If Old Navy marks up the jeans by 45%, what will be the cost of the jeans. 2. Bobby makes a 8% commission on a house that sold for 250,000.

### Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8).

: Autumn 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required

### YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!

DETAILED SOLUTIONS AND CONCEPTS - SIMPLE GEOMETRIC FIGURES Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST

### Circle Measurement. PRESENTED BY MATHEMAGICIAN Mathematics, Grade 8. Welcome to today s topic Parts of Listen & Learn. Presentation, questions, Q&A

Measurement PRESENTED BY MATHEMAGICIAN Mathematics, Grade 8 Introduction Welcome to today s topic Parts of Presentation, questions, Q&A Housekeeping Your questions Satisfaction meter 1 What you will learn

### 1.7 Find Perimeter, Circumference,

.7 Find Perimeter, Circumference, and rea Goal p Find dimensions of polygons. Your Notes FORMULS FOR PERIMETER P, RE, ND CIRCUMFERENCE C Square Rectangle side length s length l and width w P 5 P 5 s 5

### Geometry Notes VOLUME AND SURFACE AREA

Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate

### AREA. AREA is the amount of surface inside a flat shape. (flat means 2 dimensional)

AREA AREA is the amount of surface inside a flat shape. (flat means 2 dimensional) Area is always measured in units 2 The most basic questions that you will see will involve calculating the area of a square

### Algebraic Expressions and Equations: Classification of Expressions and Equations

OpenStax-CNX module: m21848 1 Algebraic Expressions and Equations: Classification of Expressions and Equations Wade Ellis Denny Burzynski This work is produced by OpenStax-CNX and licensed under the Creative

### Circumference CHAPTER. www.ck12.org 1

www.ck12.org 1 CHAPTER 1 Circumference Here you ll learn how to find the distance around, or the circumference of, a circle. What if you were given the radius or diameter of a circle? How could you find

### CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 2. SURFACE AREAS OF SOLIDS If you need to know more about plane shapes, areas, perimeters, solids or volumes of solids, please refer to CONNECT: Areas, Perimeters 1. AREAS

### Addition and Subtraction of Whole Numbers: Whole Numbers

OpenStax-CNX module: m34795 1 Addition and Subtraction of Whole Numbers: Whole Numbers Denny Burzynski Wade Ellis This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution

### Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

### Calculating the surface area of a three-dimensional object is similar to finding the area of a two dimensional object.

Calculating the surface area of a three-dimensional object is similar to finding the area of a two dimensional object. Surface area is the sum of areas of all the faces or sides of a three-dimensional

### Junior Math Circles November 18, D Geometry II

1 University of Waterloo Faculty of Mathematics Junior Math Circles November 18, 009 D Geometry II Centre for Education in Mathematics and Computing Two-dimensional shapes have a perimeter and an area.

### Paper with a circle on it. Length of string at least four times the length of the diameter. Glue or tape

Day 2: Perimeter Strings Understanding Circumference Materials: Paper with a circle on it. Length of string at least four times the length of the diameter. Glue or tape 1. Get a circle and a length of

### Rugs. This problem gives you the chance to: find perimeters of shapes use Pythagoras Rule. Hank works at a factory that makes rugs.

Rugs This problem gives you the chance to: find perimeters of shapes use Pythagoras Rule Hank works at a factory that makes rugs. The edge of each rug is bound with braid. Hank s job is to cut the correct

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd

### Chapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?

Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### Geometry SOL G.11 G.12 Circles Study Guide

Geometry SOL G.11 G.1 Circles Study Guide Name Date Block Circles Review and Study Guide Things to Know Use your notes, homework, checkpoint, and other materials as well as flashcards at quizlet.com (http://quizlet.com/4776937/chapter-10-circles-flashcardsflash-cards/).

### Integrated Algebra: Geometry

Integrated Algebra: Geometry Topics of Study: o Perimeter and Circumference o Area Shaded Area Composite Area o Volume o Surface Area o Relative Error Links to Useful Websites & Videos: o Perimeter and

### Grade 8 Mathematics Geometry: Lesson 2

Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside

### Unit 1, Review Transitioning from Previous Mathematics Instructional Resources: McDougal Littell: Course 1

Unit 1, Review Transitioning from Previous Mathematics Transitioning from previous mathematics to Sixth Grade Mathematics Understand the relationship between decimals, fractions and percents and demonstrate

### RIT scores between 191 and 200

Measures of Academic Progress for Mathematics RIT scores between 191 and 200 Number Sense and Operations Whole Numbers Solve simple addition word problems Find and extend patterns Demonstrate the associative,

### Perimeter is the length of the boundary of a two dimensional figure.

Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose

### are radii of the same circle. So, they are equal in length. Therefore, DN = 8 cm.

For Exercises 1 4, refer to. 1. Name the circle. The center of the circle is N. So, the circle is 2. Identify each. a. a chord b. a diameter c. a radius a. A chord is a segment with endpoints on the circle.

### 10.1: Areas of Parallelograms and Triangles

10.1: Areas of Parallelograms and Triangles Important Vocabulary: By the end of this lesson, you should be able to define these terms: Base of a Parallelogram, Altitude of a Parallelogram, Height of a

### Solids. Objective A: Volume of a Solids

Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular

### diameter radius Work with a partner. Copy the table. Record your results in the table. Measure the perimeter of the large square in millimeters.

8.1 Circles and Circumference of a circle? How can you find the circumference Archimedes was a Greek mathematician, physicist, engineer, and astronomer. Archimedes discovered that in any circle the ratio

### CLOCKS Big Ben is a famous clock tower in London, England. The diameter of the clock face is 23 feet. center

-3 Circles and Circumference MAIN IDEA Find the circumference of circles. New Vocabulary circle center diameter circumference radius π (pi) CLOCKS Big Ben is a famous clock tower in London, England. The

### Curriculum overview for Year 1 Mathematics

Curriculum overview for Year 1 Counting forward and back from any number to 100 in ones, twos, fives and tens identifying one more and less using objects and pictures (inc number lines) using the language

### Circles: Circumference and Area

Aki Margaritis Brookview School Benton Harbor, MI 490 margaritisaki@hotmail.com Circles: Circumference and Area Geometry Key Topics: Circles, circumference of circle, diameter, pi, perimeter of a regular

### By the end of this set of exercises, you should be able to:

BASIC GEOMETRIC PROPERTIES By the end of this set of exercises, you should be able to: find the area of a simple composite shape find the volume of a cube or a cuboid find the area and circumference of

### EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE

EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE 7.G.4 CONTENTS The types of documents contained in the unit are listed below. Throughout the unit, the documents are arranged by lesson. LEARNING MAP INFORMATION

### 10.1 Geometry Areas of Parallelograms, Triangles and Heron s Formula

Name Due Date 4/10 https://www.youtube.com/watch?v=eh5zawhrioo 10.1 Geometry Areas of Parallelograms, Triangles and Heron s Formula Area of a Rectangle: A= Area of a Square: A= Area of a Parallelogram:

### Geometry Chapter 9 Extending Perimeter, Circumference, and Area

Geometry Chapter 9 Extending Perimeter, Circumference, and Area Lesson 1 Developing Formulas for Triangles and Quadrilaterals Learning Target (LT-1) Solve problems involving the perimeter and area of triangles

### PROBLEM SOLVING, REASONING, FLUENCY. Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value. Measurement Four operations

PROBLEM SOLVING, REASONING, FLUENCY Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value Addition and subtraction Large numbers Fractions & decimals Mental and written Word problems,

### Surface Area of Rectangular & Right Prisms Surface Area of Pyramids. Geometry

Surface Area of Rectangular & Right Prisms Surface Area of Pyramids Geometry Finding the surface area of a prism A prism is a rectangular solid with two congruent faces, called bases, that lie in parallel

### Pizza! Pizza! Assessment

Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the

### Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade

Content Area: GEOMETRY Grade 9 th Quarter 1 st Curso Serie Unidade Standards/Content Padrões / Conteúdo Learning Objectives Objetivos de Aprendizado Vocabulary Vocabulário Assessments Avaliações Resources

### Name: Date: Geometry Solid Geometry. Name: Teacher: Pd:

Name: Date: Geometry 2012-2013 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 1-7 HW: Pgs: 8-10 DAY 2: SWBAT: Calculate the Volume of

### The Road to Proportional Reasoning: VOCABULARY LIST

SCALE CITY The Road to Proportional Reasoning: VOCABULARY LIST Term and Definition angle: the amount of turn between two rays that meet at a common endpoint area: the size of a two-dimensional surface

### Linear Speed and Angular Speed

Preliminaries and Objectives Preliminaries: Circumference of a circle Conversion factors (dimensional analysis) Objectives: Given the central angle and radius (or diameter) of a circle, find the arc length

### Perimeter and Area. An artist uses perimeter and area to determine the amount of materials it takes to produce a piece such as this.

UNIT 10 Perimeter and Area An artist uses perimeter and area to determine the amount of materials it takes to produce a piece such as this. 3 UNIT 10 PERIMETER AND AREA You can find geometric shapes in

### Multiplying Decimal Numbers by 10, by 100, and by 1000

Multiplying Decimal Numbers by 10, by 100, and by 1000 Lesson 111 111 To multiply by 10, shift the decimal to the right one place. To multiply by 100, shift the decimal to the right two places. To multiply

### Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in

Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in

### troduction to Algebra

Chapter Five Decimals Section 5.1 Introduction to Decimals Like fractional notation, decimal notation is used to denote a part of a whole. Numbers written in decimal notation are called decimal numbers,

### Fourth Grade Common Core State Standard (CCSS) Math Scope and Sequence

I= Introduced R=Reinforced/Reviewed Fourth Grade Math Standards 1 2 3 4 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.0A.1 - Interpret a multiplication