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Worksheets

Circles Review

Total questions: 45

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

2.
What is the measure of angle DEF?
a)
72
b)
73
c)
74
d)
75
3.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
4.
What is the measure of arc AD?
a)
137
b)
136
c)
135
d)
134
5.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

6.
An angle whose vertex is the center of a circle is a(n) ______.
a)
inscribed angle
b)
acute angle
c)
obtuse angle
d)
central angle
7.

In the diagram, a quadrilateral is inscribed in a circle. Solve for the value of "x" and "y"

a)

x=91, y=82

b)

x=81, y=106

c)

x=106, y=81

d)

x=86, y=108

8.

Solve for x.

a)

140

b)

89

c)

51

d)

38

9.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

10.
Find OA.
a)
15
b)
6
c)
-24
d)
14
11.
Write the equation of a circle with center (7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
12.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
13.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
14.

Find a and b.

a)

a=74 degrees

b=93 degrees

b)

a=93 degrees

b=74 degrees

c)

a=87 degrees

b=106 degrees

d)

a=106 degrees

b=87 degrees

15.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

16.
a)
A
b)
B
c)
C
d)
D
17.
Find the measure of arc KM.
a)
29
b)
33
c)
41.5
d)
50
18.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
19.

What is not present in the diagram?

a)

Chord

b)

Secant line

c)

Tangent line

d)

minor arc

e)

inscribed angle

20.

What is x?

a)

15

b)

23

c)

2

d)

92

21.

Write the equation of the circle.

a)

(x + 1)2 + (y - 4)2 = 9

b)

(x - 1)2 + (y + 4)2 = 3

c)

(x - 1)2 + (y + 4)2 = 9

d)

(x + 1)2 + (y - 4)2 = 3

22.

Which graph corresponds to

(x-4)2+ (y+4)2=25

a)

A

b)

B

c)

C

d)

D

23.

Name the circle part shown

a)

Diameter

b)

Radius

c)

Chord

d)

Segment

24.

Name the circle part shown

a)

Diameter

b)

Chord

c)

Radius

d)

Tangent

25.

Which picture shows a diameter?

a)
b)
c)
d)
26.
What is segment OC?
a)
diameter
b)
radius
c)
tangent
d)
chord
27.
What is segment PQ?
a)
diameter
b)
radius
c)
tangent
d)
chord
28.
What is P?
a)
chord
b)
secant
c)
point of tangency
d)
tangent
29.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
30.
What is the measure of arc WXZ?
a)
231
b)
255
c)
168
d)
200
31.
Find the measure of <XTY
a)
65
b)
98
c)
70
d)
52
32.
Find the measure of arc GKJ
a)
105
b)
50
c)
55
d)
180
33.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
34.
Find the measure of <E.
a)
7
b)
8
c)
44
35.
Solve for x.
a)
x = 35.67
b)
x = -1
c)
x = 14
d)
x = -4.33
36.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
37.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
38.
In the equation (x-4)2+(y-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
39.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
40.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
41.

What is being represented in the image?

a)

Secant

b)

Chord

c)

Tangent

d)

Inscribed Angle

42.

What is being represented in the image?

a)

Tangent

b)

Concentric Circles

c)

Exterior Angle

d)

Secant

43.

What is being represented in the image?

a)

Inscribed Angle

b)

Interior Angle

c)

Secant

d)

Radius

44.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

45.

What is the measure of angle B?

a)

34°

b)

180°

c)

112°

d)

79°