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Circles Test Review

Total questions: 49

Worksheet time: 2hrs 27mins

Name
Class
Date
1.

Which best represents the circumference of a circle with a radius of 12 inches?

a)

37.68 inches

b)

75.36 inches

c)

62.14 inches

d)

27.14 inches

2.

Which best represents the area of a circle with a radius of 8 inches?

a)

200.96 inches

b)

50.24 inches

c)

192.14 inches

d)

31.4 inches

3.

The circumference of a circle is 36π36\pi  units, what is the radius ?

a)

19 units

b)

13 units

c)

36 units

d)

18 units

4.

The most popular size pizza at Pizza Parlor is a large pizza with a 12-inch radius. Which of the following best represents the circumference of this pizza?

a)

62.84 inches

b)

60 inches

c)

75.36 inches

d)

452.16 inches

5.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
6.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
7.

Does 7 inches represent the diameter or radius of the circle?

a)

Diameter

b)

Radius

8.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
9.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference?

a)

11.32 ft

b)

12.25 ft

c)

10.99 ft

d)

8.75 ft

10.

What is the area of this circle?

a)

163.24 cm2

b)

15.32 cm2

c)

124.24 cm2

d)

113.04 cm2

11.

What is the measure of <GIH

a)

120

b)

130

c)

60

d)

180

12.

What is the measure of <GFI?

a)

120

b)

100

c)

150

d)

250

13.

What is the measure of <GJI?

a)

120

b)

150

c)

140

d)

130

14.

Find the measure of arc GH.

4 lines
15.

What is the measure of <GFH?

a)

120

b)

140

c)

130

d)

150

16.

What is the measure of <GIH?

a)

250

b)

80

c)

120

d)

90

17.
a)

180

b)

140

c)

130

d)

120

18.

Find the measure of the arc IK

4 lines
19.
a)

120

b)

90

c)

74

d)

180

20.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
21.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
22.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
23.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
24.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
25.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
26.
Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
27.
Find the degree measure of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to the nearest tenth of a square unit.
a)
118.2⁰
b)
112.4⁰
c)
353.3⁰
d)
224.9⁰
28.
Find the length of the arc of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a inch.
a)
5.2  in.
b)
10.5  in.
c)
31.4  in.
d)
38.2  in.
29.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

30.
a)

A

b)

B

c)

C

d)

D

31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
A
b)
B
c)
C
d)
D
37.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
38.
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
39.
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
40.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
41.
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)
42.
a)
A
b)
B
c)
C
d)
D
43.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
44.
What are the coordinates of the center and the radius of the circle with an equation:
(x + 7)2 + (y - 6)2 = 64 ?
a)
Centre (7,-6)
Radius = 8 units
b)
Centre (-7,6)
Radius = 64 units
c)
Centre (-7,6)
Radius = 8 units
d)
Centre (7,-6)
Radius = 64 units
45.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
46.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
47.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
48.
What is the equation of a circle whose diameter is 24 and whose center is at the origin? 
a)
x2+y2=125
b)
x2+y2=64
c)
x2+y2=144
d)
x2+y2=576
49.
What is the equation of the circle, with center (4,2) and radius 5 units?
a)
(x + 4)2 + (y + 2)2 = 25
b)
(x + 4)2 + (y + 2)2 = 5
c)
(x - 4)2 + (y - 2)2 = 5
d)
(x - 4)2 + (y - 2)2 = 25

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