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Circle REVIEW

Total questions: 100

Worksheet time: 5hrs 20mins

Name
Class
Date
1.
A segment with 2 endpoints on the circle.
a)
Chord
b)
Diameter
c)
Radius
d)
Inscribed Angle
2.
This is a picture of ___________.
a)
Chord
b)
Diameter
c)
Radius
d)
Inscribed Angle
3.
This is a picture of ___________.
a)
Chord
b)
Diameter
c)
Radius
d)
Inscribed Angle
4.

What is this called?

a)

Tangent Line

b)

Secant

c)

Chord

d)

Diameter

5.

What is this called?

a)

Major Arc

b)

Minor Arc

c)

Circumference

d)

Perimeter

6.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
7.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
8.
What can this formula be used to find?
a)
area of a circle
b)
arc length of an arc
c)
sector area
d)
circumference of a circle
9.

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

10.

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

11.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
12.
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
13.

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

a)

Diameter

b)

Radius

14.

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

15.

What is the area of this circle?

a)

163.24 cm2

b)

15.32 cm2

c)

124.24 cm2

d)

113.04 cm2

16.

The distance from the center of the circle to any point on the circle is called the...

a)

radius

b)

diameter

c)

area

d)

circumference

17.

Find the circumference of the circle.

a)

75.36 yd

b)

37.68 yd

c)

18.84 yd

d)

150.72 yd

18.

Find the circumference of the circle.

a)

78.5

b)

15.7 ft

c)

62.8 ft

d)

31.4 ft

19.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
20.
What is the area of this circle?
a)
6082.12
b)
1520.53
c)
1893.14
d)
1292.92
21.

Which of the following represents a central angle?

a)
b)
c)
22.

What is does x equal?

a)

160°160\degree

b)

80°80\degree

c)

40°40\degree

d)

360°360\degree

23.

What is the measure of

QSP\angle QSP  ?

a)

80°80\degree  

b)

100°100\degree  

c)

140°140\degree  

d)

220°220\degree  

24.

Find the measure of the indicated angle.

a)

35°35\degree

b)

85°85\degree

c)

120°120\degree

d)

155°155\degree

25.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
26.
Is this an inscribed angle?
a)
Yes
b)
No
27.
Find the measure of the ?
a)
40˚
b)
110˚
c)
122˚
d)
84˚
28.
Find the measure of the ?
a)
48˚
b)
110˚
c)
122˚
d)
84˚
29.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

30.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

31.

What is x?

(a)  

32.
a)
A
b)
B
c)
C
d)
D
33.
Write the equation of the circle.
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
34.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
35.
In the equation (x-4)2+(x-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
36.
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)
37.
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
38.
What is the radius of the circle
(x+7)²+(y-2)²=144?
a)
7
b)
12
c)
13
39.
What is the center of the circle with this equation is (x+2)²+(y-4)²=41?
a)
(2,-5)
b)
(-2,4)
c)
(2,-4)
d)
(-2, -4)
40.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
41.
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
42.
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
43.
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
a)
C:(4, -2), r=5
b)
C:(-4, 2), r=5
c)
C:(4, -2), r=25
d)
C:(-4, 2), r=25
44.
What is the formula for circumference of a circle given the diameter?
a)
C = pi x radius
b)
C = pi x diameter
c)
C = pi x 2diameter
45.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
46.
a)
A
b)
B
c)
C
d)
D
47.
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
48.
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
49.

x2+(y3)2=9x^2+\left(y-3\right)^2=9   Give the  Center 

a)

(0,0)

b)

(0,-3)

c)

(3,0)

d)

(0,3)

50.

x2+(y3)2=9x^2+\left(y-3\right)^2=9   What is the radius?

a)

9

b)

6

c)

3

d)

(-3

51.

(x+7)2+(y8)2=25\left(x+7\right)^2+\left(y-8\right)^2=25   What is the radius?

a)

5

b)

10

c)

25

d)

50

52.

(x+7)2+(y8)2=25\left(x+7\right)^2+\left(y-8\right)^2=25   What is the center?

a)

(-7,8)

b)

(7,-8)

c)

(7,8)

d)

(-7,-8)

53.

Write the equation of the circle with center at the origin (0,0) and a diameter of 10

a)

x2+y2=10x^2+y^2=10  

b)

x2+y2=5x^2+y^2=5  

c)

x2+y2=100x^2+y^2=100  

d)

x2+y2=25x^2+y^2=25  

54.

Write the equation of the circle with center at the origin (0,0) and a radius of 10

a)

x2+y2=10x^2+y^2=10  

b)

x2+y2=5x^2+y^2=5  

c)

x2+y2=100x^2+y^2=100  

d)

x2+y2=25x^2+y^2=25  

55.

Write the equation of the circle with center at  (-2,4) and a radius of 6

a)

(x2)2+(y4)2=36\left(x-2\right)^2+\left(y-4\right)^2=36  

b)

(x+2)2+(y+4)2=36\left(x+2\right)^2+\left(y+4\right)^2=36  

c)

(x+2)2+(y4)2=36\left(x+2\right)^2+\left(y-4\right)^2=36  

d)

(x2)2+(y4)2=6\left(x-2\right)^2+\left(y-4\right)^2=6  

56.

Write the equation of the circle with center at  (2,3) and a radius of 5

a)

(x2)2+(y3)2=25\left(x-2\right)^2+\left(y-3\right)^2=25  

b)

(x2)2+(y+3)2=5\left(x-2\right)^2+\left(y+3\right)^2=5  

c)

(x+2)2+(y3)2=25\left(x+2\right)^2+\left(y-3\right)^2=25  

d)

(x2)2+(y3)2=5\left(x-2\right)^2+\left(y-3\right)^2=5  

57.

Write the equation of the circle 

a)

(x7)2+(y3)2=9\left(x-7\right)^2+\left(y-3\right)^2=9  

b)

(x3)2+(y+7)2=9\left(x-3\right)^2+\left(y+7\right)^2=9  

c)

(x+7)2+(y+3)2=9\left(x+7\right)^2+\left(y+3\right)^2=9  

d)

(x+3)2+(y+7)2=9\left(x+3\right)^2+\left(y+7\right)^2=9  

58.

Write the equation of the circle

a)

(x+1)2+(y5)2=4\left(x+1\right)^2+\left(y-5\right)^2=4

b)

(x1)2+(y5)2=4\left(x-1\right)^2+\left(y-5\right)^2=4

c)

(x5)2+(y1)2=4\left(x-5\right)^2+\left(y-1\right)^2=4

d)

(x1)2+(y+5)2=4\left(x-1\right)^2+\left(y+5\right)^2=4

59.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

60.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
61.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

62.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

63.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
64.
What is the radius of this circle?
a)
18
b)
36
c)
9
d)
6
65.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
66.
What is the diameter of this circle?
a)
3.5
b)
6.5
c)
6
d)
7
67.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
68.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
69.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
c = 2π15
c)
c = π(15²)
d)
c = π(7.5²)
70.

A Circle has a diameter of 18 meters. What is the circumference of the circle? (Best Choice)

a)

9π or about 28.26 m

b)

18π or about 56.52 m

c)

81π or about 254.34m

d)

324π or about 1017.36 m

71.
Find the circumference of the circle
a)
21.98
b)
153.86
c)
43.96
d)
615.44
72.
The radius is 8 inches.  What is the circumference?
a)
50.24 inches
b)
25.12 inches
c)
12.56 inches
d)
200.96 inches
73.
What is the circumference of a circle with a radius of 21 cm?
a)
131.9 cm
b)
121.9 cm
c)
111.9 cm
d)
141.9 cm
74.
A Circle has a radius of 4.  What is the area of the circle? (Best Choice) (note: units are squared)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
75.
What is π ? (Best Choice)
a)
The ratio of the circumference of any circle to its diameter.
b)
Exactly 3.14
c)
Exactly 3.1415
d)
Exactly 3.141593
76.
Mrs. Apple just bought a new dinning room table. She needs to make a table cloth for decoration. What amount of fabric should she buy if the table has a diameter of 5 feet? Choose the equation that would best help solve this problem.
a)
C = π5
b)
C = (2)(π)(2.5)
c)
A = π52
d)
A = π2.52
77.
A ball has a circumference of 9.42 cm. What is the diameter?
a)
29.5788 cm
b)
59.1576 cm
c)
3 cm
d)
1.5 cm
78.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the distance around the cookie?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
79.

Find the radius of a circle if the circumference is 37.7 cm

a)

2cm

b)

3cm

c)

5cm

d)

6cm

80.
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.How far does a rider travel in three complete rotations around the Ferris wheel?
a)
753.6 meters
b)
251.2 meters
c)
125.6 meters
d)
376.8 meters
81.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
82.
What is the measure of arc WXZ?
a)
231
b)
255
c)
168
d)
200
83.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
84.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
85.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
86.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
87.
Find the measure of <XTY
a)
65
b)
98
c)
70
d)
52
88.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
89.
Find the measure of arc KJ
a)
105
b)
50
c)
55
d)
180
90.
Find the measure of arc GKJ
a)
105
b)
50
c)
55
d)
180
91.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
92.
a)
A
b)
B
c)
C
d)
D
93.
a)
A
b)
B
c)
C
d)
D
94.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
95.
a)
A
b)
B
c)
C
d)
D
96.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
97.
a)
A
b)
B
c)
C
d)
D
98.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

99.

Which best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

100.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146