NAME________________________________________ DATE ___________________________PERIOD________
Circles 10-1 and 10-2
For Exercises 1-7, refer to ⨀P.
1. Name the circle.
2. Name 3 radii.
3. Name 2 chords.
4. Name a diameter.
5. Name a radius not drawn as part of a diameter.
6. Suppose the diameter of the circle is 16 centimeters. Find the radius and the circumference in terms of π .
7. If PC = 11 inches, find AB and the circumference in terms of π .
.
തതതതത
࡭࡯ are diameters of ⨀O. Find the measure of each arc. Then label each arc as a major arc, minor arc, or
࡮ࡰ and തതതത
semicircle of the circle.
෢
8. m‫ܣܤ‬
෢
9. m‫ܥܤ‬
෢
10. m‫ܦܥ‬
෣
11. m‫ܤܥܣ‬
෣
12. m‫ܦܥܤ‬
෣
13. m‫ܦܤܣ‬
Use ⨀O to find the length of each arc. Round each answer to the nearest tenth, if necessary.
෢ if the radius is 2 meters
14. ‫ܧܦ‬
arc length = _________________
෣ if the diameter is 7 inches
15. ‫ܣܧܦ‬
arc length = _________________
෢ if BE = 24 feet
16. ‫ܥܤ‬
arc length = _________________
Extra #1 The radian measure of a central angle is the ratio of the arc length to the radius of the circle.
radian measure =
arclength
radius
In ⨀A, what is the radian measure of
෢ is 22 ft and AD = 4 ft?
∠DAE if the length of ‫ܧܦ‬
For Exercises 17–23, refer to ⨀L.
17. Name the circle.
18. Name 3 radii.
19. Name 3 chords.
20. Name a diameter.
21. Name a radius not drawn as part of a diameter.
22. Suppose the radius of the circle is 3.5 yards. Find the diameter and the circumference in terms of π .
23. If RT = 19 meters, find LW and the circumference in terms of π .
തതതത
࡭࡯ and തതതത
۳۰ are diameters of ⨀R. Find the measure of each arc. Then label each arc as a major arc, minor arc, or
semicircle of the circle.
෢
24. m‫ܣܧ‬
෣
25. m‫ܦܤܣ‬
෢
26. m‫ܥܦ‬
෣
27. m‫ܤܧܦ‬
෣
28. m‫ܥܦܧ‬
෣
29. m‫ܣܦܥ‬
Use ⨀P to find the length of each arc. Round each answer to the nearest tenth, if necessary.
෢ , if MT = 7 yards
30. ܴܶ
arc length = _________________
෢ , if PR = 13 feet
31. ‫ܴܯ‬
arc length = _________________
෣ , if MP = 2 inches
32. ‫ܶܵܯ‬
arc length = _________________
෣ , if PS = 10 cm
33. ‫ܴܵܯ‬
arc length = _________________
Extra #2 The radian measure of a central angle is the ratio of the arc length to the radius of the circle.
radian measure =
arclength
radius
In ⨀A, what is the radian measure of
෢ is 38 ft and BE = 10 ft?
∠BAD if the length of ‫ܦܤ‬