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
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1 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 of length r is inscribed in a regular hexagon. r s Write an expression for the area of the hexagon using s and r. Then write an expression for the area using P, the perimeter of the hexagon, and r. Chapter 12 Assessments 1221
2 Pre-Test page 2 3. Zach ran 5 laps around a circular track with diameter of length 150 feet. How far did he run? 4. The advertised size of a pizza is the length of its diameter. What is the area of the crust of a 16-inch pizza? 5. A rectangle is inscribed in a circle. 5 cm 13 cm 12 cm a. Calculate the exact area of the circle Chapter 12 Assessments
3 Pre-Test page 3 Name Date b. Calculate the area of the rectangle. c. Calculate the exact area of the shaded region. Then, calculate the approximate area using 3.14 for π. Chapter 12 Assessments 1223
4 1224 Chapter 12 Assessments
5 Post-Test Name Date 1. A circle is shown. M N O P 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 of length r is inscribed in a square. r S Write an expression for the area of the square using s and r. Then write an expression for the area using P, the perimeter of the square, and r. Chapter 12 Assessments 1225
6 Post-Test page 2 3. Brianna ran 6 laps around a circular track with diameter of length 120 feet. How far did she run? 4. The advertised size of a pizza is the length of its diameter. What is the area of the crust of a 12-inch pizza? 5. A rectangle is inscribed in a circle. 8 in. 17 in. 15 in. a. Calculate the exact area of the circle Chapter 12 Assessments
7 Post-Test page 3 Name Date b. Calculate the area of the rectangle. c. Calculate the exact area of the shaded region. Then, calculate the approximate area using 3.14 for π. Chapter 12 Assessments 1227
8 1228 Chapter 12 Assessments
9 End of Chapter Test Name Date Circle S and Circle U are congruent circles. S R T U 1. Name three radii of Circle S. 2. Name three radii of Circle U. 3. How are the radii of the two circles related? Explain. 4. What do you know about Triangle RUS and Triangle TUS? What does this mean? 5. What do you know about Quadrilateral RSTU? What does this mean? 6. Is Quadrilateral RSTU a square? Explain your reasoning. Chapter 12 Assessments 1229
10 End of Chapter Test page 2 Show the formula you used and all your calculations. If a formula involves π, first give an exact answer. Then, calculate an approximate answer using 3.14 for π. 7. Compute the circumference of a circle with radius of length 17 inches. 8. Compute the diameter of a circle with a circumference of 25 feet. 9. Compute the area of a circle with radius of length 4.5 centimeters. 10. A circle with radius of length 9 centimeters is inscribed in a regular hexagon with sides of length 10.4 centimeters. Compute the area of the hexagon Chapter 12 Assessments
11 End of Chapter Test page 3 Name Date 11. Compute the area of a circle with a circumference of 56π feet. 12. Marlene wants to enclose her circular vegetable garden with fencing to keep rabbits from eating the vegetables. If the diameter of her garden is 14 feet, how much fencing will she need to buy if fencing is sold by the linear foot? 13. Justin wants to cover the top of a circular swimming pool to keep insects out of the pool. If the diameter of the pool is 20 feet, what will be the area of the top of the cover (the portion of the cover that covers the surface of the pool)? Chapter 12 Assessments 1231
12 End of Chapter Test page Amy and Brian want to fence in a portion of their backyard for a play space for their children. Determine the area of the largest portion of the yard that they can enclose with 90 feet of fencing. 15. One medium circle and one small circle touch each other, and each of these circles touches the large circle. Calculate the area of the shaded region. 5 cm 12 cm 1232 Chapter 12 Assessments
13 End of Chapter Test page 5 Name Date 16. A circle is inscribed in a regular pentagon. Calculate the area of the shaded region. 12 in in. Chapter 12 Assessments 1233
14 1234 Chapter 12 Assessments
15 Standardized Test Practice Name Date 1. The circumference of a circle is 32 centimeters. Which is closest to the radius? a centimeters b. 5.1 centimeters c. 16 centimeters d. 5.3 centimeters 2. Which is true about the relationship between Circle O and Square RSTU? R S O U T a. The circumference of Circle O is equal to the perimeter of Square RSTU. b. Square RSTU is inscribed in Circle O. c. Circle O is inscribed in Square RSTU. d. Segment OR is a radius of Circle O. 3. How much fencing would need to enclose a circular pond with diameter 12.5 feet? a feet b feet c feet d feet Chapter 12 Assessments 1235
16 Standardized Test Practice page 2 4. Circle M and Circle N intersect at points O and P. O M N P Which statement is not true about this figure? a. Circle M is congruent to Circle N. b. Triangle OMN is equilateral. c. Segment MP is a radius of Circle N. d. Triangle MON is congruent to Triangle MPN. 5. One medium circle and one small circle touch each other, and each circle touches the larger circle. 4 cm 9 cm Which is the area of the shaded region? a. 72π square centimeters b. 97π square centimeters c. 26π square centimeters d. 169π square centimeters 6. Which is the ratio of the circumference of any circle to the radius of the circle? a. π b. 2π c. π 2 d. π Chapter 12 Assessments
17 Standardized Test Practice page 3 Name Date 7. Circle P is inscribed in a regular hexagon. P 8 cm 9.24 cm Which is closest to the area of the hexagon? a. 201 square centimeters b. 268 square centimeters c. 444 square centimeters d. 222 square centimeters 8. Which describes the collection of all points in the same plane that are 8 1 inches from Point T? 2 a. circle T with radius inches b. circle T with diameter inches c. circle T with radius 17 inches d. a sphere with center T and radius inches 9. If the diameter of a circle is 18 feet, which is closest to the circumference? a feet b. 9 feet c feet d feet Chapter 12 Assessments 1237
18 Standardized Test Practice page A circle with radius 10 inches is inscribed in a regular pentagon with sides of length s. 10 in. s Which expression gives the area of the pentagon? a. 50s square inches b. 100π square inches c. 25s square inches d. 25πs square inches 11. A circle with radius 16 centimeters is inscribed in a square. 16 ft Which is the area of the shaded region? a square feet b square feet c square feet d square feet 12. Circle A and Circle B are congruent circles. Which statement must be true? a. Circle A and Circle B have the same center. b. The radii of Circle A and Circle B have the same length. c. Circle A and Circle B have exactly two points in common. d. Circle A and Circle B touch at one point Chapter 12 Assessments
19 Standardized Test Practice page 5 Name Date 13. A piece of rope 94.2 inches long will enclose a circular child s wading pool. What is the diameter of the pool? a. 15 inches b inches c. 30 inches d inches 14. The advertised size of a pizza is the diameter of the pizza. Which is closest to the area of the crust of a 15-inch pizza? a. 707 square inches b. 177 square inches c. 225 square inches d. 47 square inches 15. A circle is centered inside a regular hexagon. 3 cm 2 cm 5.77 cm Which is closest to the area of the shaded region? a square centimeters b square centimeters c square centimeters d square centimeters 16. A circle with radius of length r is inscribed in a regular polygon with n sides of length s. Which formula gives the area of the polygon? a. A 5 πr 2 b. A 5 nsr c. A nsr d. A 5 πnsr Chapter 12 Assessments 1239
20 Standardized Test Practice page Two small circles are drawn that touch each other, and both circles touch the large circle. 7 in. 7 in. Which is closest to the area of the shaded region? a. 615 square inches b. 462 square inches c. 88 square inches d. 308 square inches 18. Which accurately describes a circle with radius 12 centimeters and center Q? a. the collection of all points located 6 centimeters from point Q b. the collection of all points on the same plane located 6 centimeters from point Q c. the collection of all points located 12 centimeters from point Q d. the collection of all points on the same plane located 12 centimeters from point Q 19. If the circumference of a circle is 11π inches, which is closest to its area? a. 380 square inches b. 95 square inches c. 17 square inches d. 35 square inches 20. For any circle, which ratio is equal to the number π? a. circumference diameter b. circumference radius c. diameter circumference d. radius circumference 1240 Chapter 12 Assessments
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