NAME______________________________________DATE__________________PER._____
TOPIC 11-12 TEST REVIEW: CIRCLES
Find the indicated measure for each of the following.
1. 𝑚∠𝐴𝑃𝐷 =_________
2. 𝑚∠𝐶𝑃𝐴 = ___________
3.
4.
=________
=________
Find the arc length of each lightened arc. Leave your answer in terms of 𝝅.
5. Arc length = ________
6. Arc length = ________
7. Arc length = ________
Convert each degree measure to radians, write your answer in terms of 𝝅 and rounded to
hundredths, convert each radian measure to degrees rounded to the nearest degree.
8. A) 60°
9. A)
5𝜋
6
radians
B) 45°
B)
3𝜋
4
C) 180°
radians
C)
2𝜋
3
D) 75°
radians
D)
𝜋
2
radians
Find the indicated values below using the definition of radian degree measure of a central angle.
Round your answer to the nearest tenth.
10. m = _____________
The length m of the lighted arc.
11. m = _____________
The length c of the lighted arc.
The radius and arc length are given. Find the radian measure 𝜃 of the central angle, round to the tenth.
12. 𝜃 = _____________
13. 𝜃 = _____________
Problems 14-16. Find the area of each shaded sector below. Leave your answer in terms of 𝝅.
14. Sector Area = ________
15. Sector Area = ________
16. Sector Area = ________
Write the standard equation of each circle below.
17.
19. Center (−3, −4) radius 5
18.
21. What is the center and radius
of the circle with the equation
(𝑥 − 7)2 + (𝑦 − 5)2 = 49?
20. Center (−2, 4) radius 3
22. What is the center and radius
of the circle with the equation
(𝑥 + 8)2 + 𝑦 2 = 16?
Find indicated values. Lines that appear tangent, are.
23. x = ______________
24. x = __________
12 − 2𝑥
x°
42°
8
̅̅̅̅ is a diameter.
Find indicated values using the properties of chords. 𝑨𝑩
25 A) 𝑚∠𝐵𝐸𝐷 = _____________
25 B) Given 𝐶𝐸 = 9, 𝐶𝐷 = _____________
25 C) Given 𝑚𝐶𝐷 = 36°, 𝑚𝐶𝐵 = _____________
26. Given ∠𝐴𝑂𝐵 ≅ ∠𝐷𝑂𝐶, 𝐴𝐵 = 7𝑐𝑚,
find 𝐶𝐷 = ___________.
Find indicated values using the properties of segments.
27. y = _________
28. x = _________
29. x = _________
30. m1 = __________
Find the m1.
125
1
145
31. m1 = __________
124
1
80
32. m1 = __________
104
62
1
33. m1 = __________
280
1
100
34. m1 = __________
1
x
35. x = __________
74
113
96
36. x = __________
x
37. m1 = __________
1
38. m1 = __________
1