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Inscribed Angles. Tangents & Angles. Secants, Tangents, & Angles. Segments In Circles. Equations Of Circles. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. A. 35°. B. C.

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  1. Inscribed Angles Tangents & Angles Secants, Tangents, & Angles Segments In Circles Equations Of Circles 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  2. A 35° B C Inscribed Angles - 100 AB is a diameter. Find m<BCA. Answer: 90°

  3. A B 50° D C Inscribed Angles - 200 Find m<CBD. Answer: 50°

  4. A 72° C P 36° B D Answer: 72/2 = 36° Inscribed Angles - 300 If the measure of arc AC = 72°, find m<ABC.

  5. A C P 35° B 90° 70° D Answer: m<BCD = 35°, so arc BD = 70° Inscribed Angles - 400 Find the measure of arc BD. 55°

  6. A 72° C 108° P 110° 36° 55° B 70° D Answer: mAC = 72° and mCD = 110°, So mABD = 360 – (110 + 72) = 178° Inscribed Angles - 500 Find the measure of arc ABD.

  7. B A 5 8 P Tangents and Angles - 100 Find BA. 5 Answer: 52 + x2 = 132, so x = 12 = BA

  8. B 4x + 18 7x .P C A Tangents and Angles - 200 Find x. Answer: 4x + 18 = 7x, so x = 6

  9. B 42° A P C Tangents and Angles - 300 Find the measure of arc BC. 48° 48° D Answer: m<BPA = 48°, so mBC = 48°

  10. Tangents and Angles - 400 Find the measure of arc UV. X S Z U W 40° 40° Y T 50° 50° R V Answer: 100°

  11. X 6 S 8 6 6 4 4 Z U W 8 Y T 3 2 3 4 3 R V Tangents and Angles - 500 Find UT. Answer: For UW: 32 + x2 = 52, UW = 4 For XW: 62 + x2 = 102, WX = 8, so UT = 4 + 8 = 12

  12. Secants, Tangents, Angles - 100 Find m<EBC. A B C 120° . D E 240° Answer: m<EBC = 240/2 = 120°

  13. 160° A 60° B 80° 1 4 2 3 C D C Secants, Tangents, Angles - 200 Find m<3. 60° Answer: m<3 = (60 + 160)/2 = 110°

  14. Secants, Tangents, Angles - 300 Find m<WXY. W 105° 55° X Z Y 200° Answer: m<WXY = (105 – 55)/2 = 25°

  15. 40º L K 40º J I 110º 20º H M N Secants, Tangents, Angles - 400 Find m<LJK 150º Answer: m<LJK = (40 + 170)/2 = 105º

  16. (11x - 5)º L K (6x)º J I (20x + 10)º (4x)º H M N 150º Secants, Tangents, Angles - 500 Find m<H 110º 20º Answer: 4x + 6x + 11x - 5 + 20x + 10 + 150 = 360, so x = 5. Then mKN = 110 º and mIM = 20º, so m<H = (110 - 20)/2 = 45 º

  17. A 6 B x 9 3 C C D Segments in Circles - 100 Find x. Answer: 6·3 = 9x, x = 2

  18. R 6 U T x 4 S Segments in Circles - 200 Find x. Answer: 62 = 4(4 + x), x = 5

  19. L x 4 M N 3 5 O Segments in Circles - 300 Find x. P Answer: 4(4 + x) = 3(8), x = 2

  20. Segments in Circles - 400 Find x. A B 4 x D 16 C C Answer: x·x = 16 ·4, x = 8

  21. Segments in Circles - 500 Find x. x F x G E 5 H 14.6 I Answer: x(x + x) = 5(19.6), 2x2 = 98, so x = 7

  22. Equations of Circles - 100 What are the coordinates of the center of a circle with equation (x – 4)2 + (y + 5)2 = 16 Answer: (4, -5)

  23. Equations of Circles - 200 What is the radius of a circle, as a decimal to the nearest tenth, with equation: (x – 4)2 + (y + 5)2 = 34. Answer: √34 = 5.8

  24. K Equations of Circles - 300 Write the equation for circle K. Answer: (x + 1)2 + (y + 2)2 = 9

  25. P Equations of Circles - 400 Find the equation of circle P. Answer: (x – 1)2 + y2 = 25

  26. Equations of Circles - 500 Name the coordinates of a point on the circle with equation (x – 1)2 + y2 = 4 Answer: The center of the circle is (1, 0) and the radius is 2. The easiest way to find the coordinates of a point on the circle would be to move 2 units above (1, 2), below (1, -2), left (-1, 0), or right (3, 0) of the center.

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