Chords, Radii, and Diameters Worksheet Name:

Transcription

1 Chords, Radii, and Diameters Worksheet Name: The diagram below is a circle with center G. Use it to answer the following questions. B The following is a circle centered on H. Use it to answer the following questions. Date: Period: A 1. Name three chords. 1. Name four chords. 2. Name five radii. 2. Name five radii. 3. Name the diameter. 3. Name two diameters. 4. If AD is 12 what is the length of? 5. If A15 is 15, what is the length of? 4. If BF is 4, how long is HE? 6. If FE is 9, can you tell the length ofi? 5. If FT is 25, what is the length of ö? 7. If A is 108, what is the length of? 8. If GD is 34, what is the length of? 6. Ifii is 64, what is the length of CH? 9. If GC is 25, what is the length of A?

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3 1.x2 16x x2 12x x2+20x ()2=x 2 18x x 25 3.x2 2x 24 2.x2+8x+16 x2 9x+ 18 x2 x2 + 6x + 9 x2 49 x2+8x x Across Name Down 11.x2+4x x2 áx x (x+4) (x+12) x2 x2 x2 lox j lo (x HANDS ON ALGEBRA HANDS ON ALGEBRA HANDS ON ALGEBRA HANDS ON ALGEBRA. Hands On Algebra 1F lnstructional FaIr, ln Factoring x2 + bx + c OBJECTIVE: To use all basic equation-solving skills and factoring to solve this puzzle 9.x2 4x x 6x+8 across has been done as an example. Fill in the crossnumber puzzle by solving the equations below, One down and one 6) x2 + 4x 96 ()2=x lox 4x x2 x 30 6.x2 5x 36 3.x2 8x+12 2.x2+9x+20 8.x2+13x+30 1.x2 2x x2+ 14x+24 x2 + 8x x 1 5x + 54

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5 I of each arc 3. mzbrc 5. m LARE 9. mst 11. mrsu 1. mzerd 2. in: CRD 4. marb 10. nrs measure. ALGEBRA In OR, AC and ER are diameters. Find each Angles and Arcs Skills Practice NAt1E - DATE PERIOD GIencoeMcGraw-HiU 549 Glencoe Geometry 19.KLMifmLKDM O.JKifm.zJDK KL ifrn.kdl 60 18,NJKim NJ)K 12u 15.LMifmzLDM MN if rnz MDN O for the given angle measure. The diameter of CD is 18 unhs long. Find the length 13. mpqs 14. inpru 12. mstp 7. rnpq In GA, mlpau = 40, LPAU LSAT, and Find each measure. LRAS LTAU. 6.,nZBRD

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7 NAME DATE PERIOD 1. in AQE 2. m / DQE measure Practice Angles and Arcs ALGEBRA In OQ, AC and RD are diameters. Find each /erce McGr3w 4i 550 3Ier coe Georr.? tr7 High School say they spend on homework each night. which shows the number of hours students at Leland The radius of OZ is 13.5 units long. Find the length of each arc s for the given angle measure. :i. ifl: ( QD 4. m zbqc In OP, mlgph = 38. Find each measure. 7. mef 8.,nDE jg 9. mfg 10. mdhg 11. ml 12. mdge 13. QPT if mzqzt QR if mlqzr = PQR if rncpzr = QPS if mzzqzs 160 HOMEWORK For Exercises 17 and 18, refer to the table, 17. If you were to construct a circle graph of the data, how many degrees would be allotted to each category? Homework Less than 1 hour 8% 1 2 hours 29% 2 3 hours 58% 3 4 hours 3% Over 4 hours 2% 18. Describe the arcs associated with each category 5.m. (QE 6.m.zAQD

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9 rame DATE PERIOD Practice Arcs and Chords In OE, rniiq = 48, III = JK. and JR = 7.5. Find each measure. 1. nih! 2. mqi 3. in JK 4. HI 5.PI 6.JK The radius of ON is 18, NK = 9, and mde = 120. Find each measure. 7. in GE 8. m ZHNE 9. in HEN 10. HN The radius of 00 = 32, PQ measure. 11. PB RS, and PQ = 56. Find each 14. BQ 12. OB 16. RS 13. MAN DALAS The base figure in a mandala design is a nine-pointed star. Find the measure of each arc of the circle circumscribed about the star. Iercce McOr2wH 556 Glencae C eornetrv

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11 13. mrut 12 SRU 9. r,lr of each angle rn 3 3x I- 10, S. 6 mz6 LI,? I 2 in: 2 4 Ir Find the measure Inscribed Angles Skills Practice NAME PERIOD ALGEBRA Find the measure of each numbered argle and nls = 95. Find each ncasure Quadrilateral RSTU is inscribed in OP In OS, mkj 80 nzlm 100, and mmn 11 r // \ 5 m 5 3, iii 3 7.n15x 2,m2 2x±8 GIencoe/McciidwHil Glencoe Geometry AHc sn Ii that instil in / T 8. rn I rnl4 7rn/6 3v + 11

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13 H 41] NAME DATE PERIOD Glencoe/McGraw-HII{ 567 T LI 0 7.QT = 4, PT 9, SR 13 8.fIIJKi a rhornba,si 5,HR 13 segments that appear to be tangent are tangent. Find the perimeter of each polygon for the given information Assume that 17G 5, 6. C 2 + 3x:w A 4. Find x. Assume that segments that appear to be tangent are tangent. \ EZtZ 41 1Ji 2.AB Determine whether each segment is tangent to the given circ1e Tangents Skills Practice I

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15 ml mll 2.mL2 3.mL3 Find each measure. 10- Skills Practice Find x. Assume that any segment that appears to be tangent is tangent. Glencoe/McGraw-HiII 573 Glencoe Geometry i mL5 6.mL6 NAME DATE PERIOD Secants, Tangents, and Angle Measures

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17 Lm l 3. ml3 Find each measure Secants, Tangents, and Angle Measures Z r to score? Explain. the mxy 122, at what angle mu t Rckie kick the ball :::_N/ goat ball through a semicircular goal to score. If rrxz 58 and 9. RECREATION In a game of kickball, Rickie has to kick the IL 2x0 a Find x. Assume that any segment that appears to be tangent is tangent 1 46 \ 216 Practice NAME DATE PER)OD

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19 NAME Skills Practice Special Segments in a Circle DATE PERIOD Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent (I GlencoelMcGraw-Hifl 579 Glencoe Geometry

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21 tangent. I 2 3/7 Find x to the nearest tenth. Assume that segments that appear to be tangent are Special Segments in a Circle ( 1 O-7 Practice Giencoe McD rawhfl 580 C noe Geometry containing the arc of the arch. 3 feet high awl 9 feet wide. Find the radius of the circle 10. CONSTRUCTION Anor uh ovet on apartment entranc. T 8. / 6. / & 4. 5, /1 1 / / xl N/ 7 5 / 20 / / NAME LATE PEPIOD

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