NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Circles Test Review
SCORE ___________
Write the letter for the correct answer in the blank at the right of each question.
For Questions 1–3, use ⨀O
1. Name a diameter.
̅̅̅̅
A 𝐹𝐺
̅̅̅̅
B 𝐴𝐵
2. Name a chord.
F ̅̅̅̅
𝐹𝑂
1. ________________
⃡
C 𝐴𝐵
D ⃡𝐶𝐸
G ̅̅̅̅̅
𝐴𝐵
H ⃡𝐴𝐵
J ⃡𝐶𝐸
2. ________________
3. Name a tangent line.
A ̅̅̅̅
𝐹𝑂
B ̅̅̅̅̅
𝐴𝐵
C ⃡𝐴𝐵
D ⃡𝐶𝐸
3. ________________
4. The diameter of a circular swimming pool is 15 feet. Find the circumference to the nearest
hundredth.
F 47.12 ft
G 63.81 ft
H 75.96 ft
J 94.24 ft
4. ________________
̂.
5. In ⨀A, m∠ BAD = 110. Find m 𝐷𝐸
A 35
B 55
5. ________________
C 70
D 110
6. Points X and Y lie on ⨀P so that PX = 5 meters and m∠ XPY = 90.
̂ to the nearest hundredth.
Find the length of 𝑋𝑌
F 3.93 m
G 7.85 m
H 15.71 m
J 19.63 m
6. ________________
7. Chords ̅̅̅̅
𝑋𝑌 and ̅̅̅̅̅
𝑊𝑉 are equidistant from the center of ⨀O.
If XY = 2x + 30 and WV = 5x – 12, find x.
A 58
B 28
C 14
D6
7. ________________
8. Determine AB.
F 4√2 units
G 8 units
H 8√3 units
J 4√2 + 4 units
8. ________________
9. Find x.
A 122
B 61
C 58
D 29
9. ________________
10. EFGH is a quadrilateral inscribed in ⨀P with m∠ E = 72 and m∠ F = 49. Find m∠ H.
F 131
G 108
H 90
J 57
11. If ̅̅̅̅
𝐴𝐵 is tangent to ⨀C at A, find BC.
A 6 in.
B 4√3 in.
Chapter 10
C 12√3 in.
D 24 in.
63
10. ________________
11. ________________
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
̅̅̅̅, and ̅̅̅̅
12. ̅̅̅̅
𝑃𝑄 , ̅̅̅̅
𝑄𝑅, 𝑅𝑆
𝑆𝑃 are tangent to ⨀X. Find RS.
F 9 in.
H 13 in.
G 12 in.
J cannot tell
12. ________________
13. The radius of ⨀B is 3 centimeters and the circumference of ⨀A is 14π centimeters.
13. ________________
Find AD.
F 10 cm
H 17 cm
G 13 cm
J 20 cm
14. The circumference of a steering wheel of a car is 20 π inches. What is the radius of the
steering wheel?
F 10 in.
G 20 in.
H 40 in.
J 100 in.
14. ________________
̂ .
15. Find m𝐺𝐻
A 20°
B 50°
15. ________________
C 70°
D 90°
16. Find x if m∠1 = 3x + 17 and m∠2 = 5x – 9.
A4
C 56
B 13
D 112
16. ________________
17. Find x.
A 36
B 72
17. ________________
C 144
D 180
18. Find the center of the circle whose equation is (𝑥 + 11)2 + (𝑦 − 7)2 = 121.
F (–11, 7)
G (11, –7)
H (121, 49)
J 11
18. ________________
19. Find the equation of a circle whose center is at (2, 3) and radius is 6.
A (𝑥 + 2)2 + (𝑦 + 3)2 = 6
C (𝑥 + 2)2 + (𝑦 + 3)2 = 36
2
2
B (𝑥 − 2) + (𝑦 − 3) = 6
D (𝑥 − 2)2 + (𝑦 − 3)2 = 36
19. ________________
20. Find the equation of ⨀P.
F 𝑥 2 + (𝑦 − 3)2 = 4
G 𝑥 2 + (𝑦 − 3)2 = 2
Chapter 10
H (𝑥 − 3)2 + 𝑦 2 = 2
J (𝑥 − 3)2 + 𝑦 2 = 4
64
20. ________________
Glencoe Geometry