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1 1. ( ) Find the value of x mhg 30 F 80 H x G E 2. Find m X and m Y 120 X 56 Y aroody age 1 of 18

2 3. Find mq X Y Q 4. Find the radius of a circle in which a 48 cm. chord is 8 cm closer to the center than a 40 cm chord. aroody age 2 of 18

3 5. Two circles intersect and have a common chord that measures 120 cm. The radii of the circles are 68 cm and 75 cm. Find the distance between their centers. 6. Find m S X Y aroody age 3 of 18

4 7. Find the radius of a circle if a 72-cm chord is 15 cm from the center. 8. Find aroody age 4 of 18

5 9. If EFGH is regular, find the measure of E H O G F E 10. Given O with radius 8, with radius 3, and O = 13, find the length of the common external tangent. aroody age 5 of 18

6 11. Two circles with radii 8 cm and 12 cm are 5 cm apart. Find the length of the common internal tangent. 12.,, and are all tangent to each other. = 8, = 13, and = 11. Find the radii of the three s. aroody age 6 of 18

7 13. flatbed truck is hauling a cylindrical container with a diameter of 6 ft. Find, to the nearest hundredth, the length of a cable needed to hold down the container. 6 ft. E F circular garbage can is wedged into a rectangular corner. The can has a diameter of 50 cm. a. Find the distance from the corner point to the point of contact of the can with the wall ( ) b. Find the distance from the corner point to the can ( ) aroody age 7 of 18

8 15. circular garbage can is wedged into a corner angled at 60. The can has a diameter of 46 cm. a. Find the distance from the corner point to the point of contact of the can with the wall ( ) b. Find the distance from the corner point to the point on the can that is closest to it ( ) 60 O 16. Find the measure of a tangent-tangent angle if the measure of the major intercepted arc is 10 less than 4 times the measure of the minor intercepted arc. aroody age 8 of 18

9 17. quadrilateral is inscribed in a circle. Its vertices divide the circle into four arcs in the ratio 1:2:5:4. Find the measures of the angles of the quadrilateral. 18. T is a tangent segment. Find the radius of O. O Q T Find the radius of a circle if a central angle of 85 intercepts an arc with length of 17 feet. aroody age 9 of 18

10 20. Given the information shown below, find the radius of the arc J is a tangent to. Find the measure of all the letters angles and arcs. e J f a b g d k h m j c i 90 aroody age 10 of 18

11 22. M is the midpoint of. Find m. ( x + 7) M ( 4x - 15) ( 3x - 31) 23. Q is a tangent. Find m and m STQ. S T R 104 Q aroody age 11 of 18

12 24. is a diameter of. RQ, = 13, and QR = 6. Find R. Q 6 R Find the outer perimeter of the figure, which is composed of semicircles mounted on the sides of a rectangle. 9 4 aroody age 12 of 18

13 26. Find the complete perimeter of the figure quadrilateral is inscribed in a circle. Its diagonals intersect at X. If m = 100, m = 50, and, find m X. aroody age 13 of 18

14 28. & Q are tangent to each other and to the axes as shown. Q = 26 and = 24. Find the coordinates of and Q Q 29. and Q are internally tangent at T. iameter NS of Q is tangent to at. mrm = 42. Find mmn. N M 42 T Q R S aroody age 14 of 18

15 30. The two s are concentric with center E. = 40, = 24, E, and is tangent at. Find F. F E 31. E & F are externally tangent. is tangent to the s at &. E = 10 and F = 4. Find 10 E F aroody age 15 of 18

16 32. Given: O T tangent at T T is midpoint of rove: T T O T Statements Reasons aroody age 16 of 18

17 33. (This is a hard one, but not all that long ~ 7 steps) Given: rove: & Q are internally tangent at T. :T = :T Q T Statements Reasons aroody age 17 of 18

18 34. Given: & E are chords rove: ( ) ( ) = ( ) ( E) E Statements Reasons aroody age 18 of 18

### ( ) Chapter 10 Review Question Answers. Find the value of x mhg. m B = 1 2 ( 80 - x) H x G. E 30 = 80 - x. x = 50. Find m AXB and m Y A D X 56

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