Geometry
Name___________________________
Ch 12 Test Review: Circles
Name one of the following parts of circle P.
1) Radius
2) Tangent
3) Diameter
4) Chord
5) Secant
6) Central Angle
7) Inscribed Angle
H
C
D
F
B
G P
E
A
In the diagrams below, lines that appear to be tangent are tangent.
Find the value of each variable. Round decimals to the nearest tenth.
8.
145°
9.
34°
Q
P
x°
x°
O
O
10. You are standing at point B. Point B is x feet from the center of the circular water storage tank and
25 feet from point A. Find the value of x o the nearest tenth.
A
B
12
x
O
11. Find the length of the radius r, to the nearest tenth. (Not drawn to scale)
A
r
O
12. The quadrilateral circumscribes the circle. Find the perimeter of the quadrilateral.
10
B
6
13. Find the value of x and y to the nearest tenth.
14.
AB = 5, BC = 10.5, and DC = 4.
Find AD to the nearest tenth.
B
200°
C
O
y
A
13
x
D
80°
15. Given circle O with radius 13 and OC = 5.
Find the length of AB .
C
A
16. Find the value of x.
20
B
8
x
O

17. Find m PQ in
A. (Not drawn to scale)
18. Find the measure of
(4x + 8)⁰
P
BAC. (Not drawn to scale)
A
Q
A
O
57º
S
(x + 29)⁰
R
C
B
19. Find m  PSQ if m  PSQ = 3 y  5
and m  PRQ = y  25 .
20. Find the measure of  1.
1
Q
100
P
R
S
21.
Refer to the diagram to find the measure of each of the following:
Given: m  X = 110°; WZ  YZ ; m  Y = 120°
X
 Z =______ (1pt)
W

Y
WZ = ______ (1pt)
 W = ______ (1pt)

WX = ______ (1pt)
Z


22. Find the value of x if m AB = 65°
and m CD = 34° (not drawn to scale).
23. In the circle,
, and m D = 95..
Find m DCQ (not drawn to scale).
A
D
O
C
D
x°
A
B
Q
B
C
P
For 24-25, solve for x.
168°
40°
85°
x°
x
30°
24. x = __________
25. x = __________
For 26-27, find the measure of  1.
1
22°
1
265°
86°
26. m1 = __________
27. m1 = __________
For 28-31, find the value of x. If necessary, round to the nearest tenth.
5
10

4
12
x

x

9
28. x = __________

4

29. x = __________

12
x
4
5 
12

30. x = ___________
6
x


31. x = ________
32. Use the figure below to find the variables.
33. The circles are congruent
What can you conclude from the diagram?
40
B
x
y
14
O
)
O
P
A
)
z
C
D
E
34. Find the center and the radius of the circle:
(x +5)2 + (y  2)2 = 144
Center ( _______ , ________ )
radius = ______
35. Find the equation of the circle with center (2, -5) and radius of 3.
36. Find an equation of a circle with the given center and passing through the given point.
Center (-2 , 4) passing through (6 , -2)
F