Download Geometry B - Hartland High School

Geometry B
10.2 Worksheet
Name _________________________________
Date ____________________
Hour ______
Find Arc Measures
AC and EB are diameters of R. Identify each arc as a major arc, minor arc, or semicircle of
the circle. Then find its measure.
̂
̂
1. m 𝐸𝐴
2. m𝐶𝐵
̂
4. m𝐷𝐸𝐵
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5. m𝐴𝐵
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3. m𝐷𝐶
̂
6. m𝐶𝐷𝐴
PR and QT are diameters of A. Find each measure.
̂
7. m𝑈𝑃𝑄
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8. m𝑃𝑄𝑅
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9. m𝑈𝑇𝑆
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10. m𝑅𝑆
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11. m𝑅𝑆𝑈
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12. m𝑆𝑇𝑃
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13. m𝑃𝑄𝑆
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14. m𝑃𝑅𝑈
In.  O, MQ and NR are diameters. Find the indicated measure.
15. m MN
16. m NQ
17. m NQR
18. m MRP
19. m MR
20. mQR
23. m PRN
24. m MQN
21. mQMR
22. m PQ
Tell whether AB CD . Explain.
25.
26.
27.
In the clock face shown below, the positions of the numbers determine congruent arcs along
the circle.
28. What is the measure of the arc between any two consecutive numbers?
29. An arc is traced out by the end of the second hand as it moves from the 12 to the 4. Is it a
minor arc or a major arc?
30. Starting at the 2, what number does the end of the second hand reach as it completes a
semicircle?
31. When the second hand moves from the 8 to the 3, what is the measure of the arc?
32. When the second hand moves from halfway between the 1 and the 2 to 4 of the way from the 1 to
the 2, what is the measure of the arc?
5
33. The second hand moves from the 3 to the 7. What is the measure of the corresponding major arc?