1. the Vertex of a Central Angle Lies on the Circle. Radius TRUE Central Semicircle Diameter Inscribed TRUE Circumference

NAME ______DATE ______PERIOD ______CHP 11 REVIEW Write whether each statement is true or false. If false, replace the underlined word or phrase to make it a true statement. 1. The vertex of a central angle lies on the circle. inscribed

2. A circle is the locus of all points in a plane equidistant from a given point. TRUE

3. C = 2πr is the formula for the length of a circle. circumference

4. The diameter of a circle is a segment with one endpoint at the center and the other endpoint on the circle. radius

5. A minor arc has measure greater than 0 but less than 180. TRUE

6. The inscribed angle of a circle is an angle with a vertex in the center of the circle. central

7. An intercepted arc is an arc that measures 180°. semicircle

8. The integrated line is the name of the longest chord in a circle. diameter

The diameter of ꙨL is 20 and the circumference of ꙨF is 13π, QR=4. Find each measure. 9. LQ 10. RM

6 2.5

Find the diameter and radius of a circle with the given Find the exact circumference of each circle. circumference. Round to the nearest tenth. 13. 14. 11. C = 36 m 12. C = 81.3 cm

11.5 m; 5.7 m 25.9 cm; 12.9 cm

3π√2 cm 17π ft

PR and QT are diameters of circle A. Find each measure. 15. 푚푅푆෢ 16. 푚푃푄푅෣ 17. 푚푈푇푆෣ 50 180 90

18. 푚푈푃푄෣ 19. 푚푅푆푈෣ 20. 푚푃푅푈෣ 130 140 320 Use circle D to find the length of each arc. Round to the nearest tenth. 21. 퐿푀෢ if the radius is 5 inches 22. 푀푁෢ if the diameter is 3 yards

8.7 in 2.1 yd

23. 푁퐽퐾෣ if NL = 12 feet 24. 퐽퐾෢ if KD = 15 inches

12.6 ft 13.1 in

Find the value of x in each circle. 25. 26. 27. 28.

79 24 123 67 In ⨀풀 the radius is 34, 푨푩 = ퟔퟎ, and 풎푨푪෢ = ퟕퟏ. FInd each measure. 29. 푚퐵퐶෢ 30. 퐵퐷 31. 푌퐷

71 30 16

32. In circle U, VW = 20 and YZ = 5x. What is x? 33. A chord of circle P measures 8 inches and the distance from the center to the chord is 3 inches. Find the radius of circle P.

4 5

Find each measure. 34 푚퐴퐵෢ 35 푚∠푋 36 푚퐽퐾෢ 37 푚∠푄

88 45 128 64.5

38 푚∠푊 and 푚∠푌 39 푚∠퐴, 푚∠퐵, and 푚∠퐶

69 90 22 21 52

Find x (assume lines appearing tangent are tangent). Find x. Then find the perimeter. 40 41 42 43 6 52 23 4 25 80