Geometry
Chapter 9 Review
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C
For circle P:
Name ________________________
Date ________________ Per. _____
F
B
B
A
C
P
G
F
A
D
D
E
E
1. Given CE = diameter, mCD = 140
BP bisects  APC
Find a) mAE
b) mECB
2. Given CE = 26, AD = 10
Find a) PF
b) FE
c) BP
For circle A:
B
3. Given mAB = 70 , mAE = 100 ,
mED = 60 , m  AGE = 81
Find a) mCD
b) mBC
c) m  AFE
d) m  ADF
e) m  BAD
4. Given AB = 6, BF = 10, FE = 20
Find a) FD
b) FC
B
C
D
A
A
C
D
5. Given AB = 5, BC = 24, find DC
6. Given BC = 15, DC = 9, find AC
Given m  ABC = 5x – 31,
m  BAD = 3x + 17,
m  BCD = 8x – 24
7. Find a) x
b) m  ADC
8. Find the radius and coordinates of the center of the circle with equation
x2 + (y – 5)2 = 49.
9. A central angle is a right angle. What is the measure of its minor arc?
10. Points A, B, and D are on circle C. If m  ACB = 70 and BD is diameter, find mADB.
11. Suppose a chord of a circle is 80 cm long and is 30 cm from the center of the circle.
Find the length of the radius and the diameter.
12. Suppose a chord of a circle is 32 ft long and its midpoint is 30 ft from the center of
the circle. Find the diameter of the circle.
13. Suppose the radius of a circle is 17 in long and a chord is 30 in long. Find the distance
from the center of the circle to the chord.
14. Suppose the radius of a circle is 15 cm and the center is 9 cm from the midpoint of a
chord. Find the length of the chord.
15. Write and equation for the circle with center P(5, -2) and a diameter of 6 units.
Refer to circle A. BE and CF are diameters, m  EAD = 50, m  FAE = 60 and AB = 4.
C
16. CF
17. mBEC
B
D
A
E
F
Refer to circle C. If m AD = 84 , m AB = 116 and AE is a diameter, find each measure.
18. m  AEB
B
A
19. m  DAB
C
20. m  ABE
21. m  BAE
E
D
Find the value of x. Assume that segments that appear to be tangent are tangent.
22.
23.
8 ft
x ft
3 cm
4 cm
10 ft
24.
x cm
12 cm
25.
110
x
70
30
180
x
26.
27.
x
x
6
7
5
6
5