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Geometry Unit 8 Review

Total questions: 70

Worksheet time: 14hrs 33mins

Name
Class
Date
1.
a)
4
b)
5
c)
6
d)
8
2.
a)
10
b)
15
c)
12
d)
19
3.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the 
bowl?
a)
28 cm
b)
43.96 cm
c)
87.92 cm
d)
7 cm
4.
Cynthia wants to buy a round photo frame for
her brother. The radius of the photo frame is 9 cm. 
What is the photo frame’s diameter?
a)
28.26 cm
b)
56.52 cm
c)
4.5 cm
d)
18 cm
5.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
6.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
7.
What is the radius?
a)
18
b)
72
c)
38
d)
14
8.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB.
a)
5/3π
b)
c)
8/3π
d)
9.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
10.
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.
a)
40π feet
b)
35π feet
c)
11π feet
d)
22π feet
11.
In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.
a)
90
b)
60
c)
55
d)
113
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
15.
Find x
a)
10
b)
5
c)
18
d)
9
16.
Use chords to solve for x
a)
x = 3 cm
b)
x = 4 cm
c)
x = 5 cm
d)
x = 6 cm
17.
If the endpoints of an arc lie on a diameter, the arc is a ....
a)
major
b)
minor
c)
semicircle
d)
sector
18.
A ____ angle is an angle whose vertex is a the center of a circle.
a)
supplementary
b)
complimentary
c)
central
d)
obtuse
19.
Which angles are congruent?
a)
<ACB = <ADB
b)
<ADB=<AEB
c)
<AEB=<ACB
d)
<ACB = <ADB = <AEB
20.
An inscribed angle subtends a semicircle if and only if the angle is a...
a)
obtuse angle
b)
right angle
c)
straight angle
d)
acute angle
21.
An _____ _____ consists of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them.
a)
inscribed arc
b)
central arc
c)
intercepted arc
d)
isoceles arc
22.
is the formula for?
a)
arc length
b)
area of a sector
c)
area of a segment
d)
arc measure
23.
In the circle, find the indicated arc measure.
a)
A
b)
B
c)
C
d)
D
24.
In the circle, find the inscribed angle measure.
a)
A
b)
B
c)
C
d)
D
25.
What is the equation of the circle?
a)
(x+2)2+(y-3)2=2
b)
(x+2)2+(y-3)2=4
c)
(x-2)2+(y+3)2=2
d)
(x-2)2+(y+3)2=4
26.
What is the equation of circle K?
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
27.
What's the equation of the circle?
a)
(x-2)2+(y-3)2=1
b)
(x+2)2+(y+3)2=1
c)
(x-2)2+(y-3)2=2
d)
(x+2)2+(y+3)2=2
28.
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)
29.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
30.
In the equation (x-4)2+(y-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
31.
Name the circle
a)
A
b)
B
c)
C
d)
D
32.
Name a minor arc
a)
Arc BC
b)
Arc BCD
c)
Arc AB
d)
Arc AD
33.
Name the major arc
a)
Arc BC
b)
Arc BCD
c)
Arc CD
d)
Arc AB
34.
What is the equation for the circle?
a)
A
b)
B
c)
C
d)
D
35.
What is the equation of the circle with the given information?
a)
A
b)
B
c)
C
d)
D
36.
a)
secant
b)
chord
c)
tangent line
d)
diameter
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
A line segment between two points on the circle which passes through the center
a)
Radius
b)
Diamater
c)
Chord
d)
Tangent
40.
Half a circle or an arc that is 180 degrees
a)
Major Arc
b)
Minor arc
c)
Semicircle
d)
Circle
41.
The line segment between the center and a point on the circle
a)
Radius
b)
Diamter
c)
Chord
d)
Tangnet
42.
Similar circles that share a common center
a)
Similar circles
b)
Congruent circles
c)
Concentric Circles
d)
Semicircle
43.
What is the measure of arc NM?
a)
116
b)
117
c)
118
d)
119
44.
Find x
a)
10
b)
5
c)
18
d)
9
45.
In the diagram, the diameter of the circle is perpendicular to a chord. Solve for the value of "x" and "y"
a)
x=4, y=5
b)
x=3, y=7
c)
x=7, y=3
d)
x=6, y=9
46.
DB is a.....
a)
diameter
b)
chord
c)
secant
d)
tangent
47.
HJ is a.....
a)
diameter
b)
chord
c)
secant
d)
tangent
48.
DG is a.....
a)
diameter
b)
chord
c)
secant
d)
tangent
49.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
50.
a)
x = 100
b)
x = 50
c)
x = 80
d)
x = 40
51.
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
52.
Which number best represents an inscribed angle?
a)
1
b)
2
c)
8
d)
9
53.
A segment whose endpoints lie on a circle is a _______.
a)
tangent
b)
chord
c)
diameter
d)
secant
54.
A chord that passes through the center of the cirlce is a ________.
a)
chord
b)
diameter
c)
radius
d)
tangent
55.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

56.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
57.
Name the circle
a)
A
b)
B
c)
C
d)
D
58.
Use chords to solve for x
a)
x = 3 cm
b)
x = 4 cm
c)
x = 5 cm
d)
x = 6 cm
59.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
60.
Find the measure of angle MNQ.
a)
89
b)
45
c)
158
d)
22
61.

In the diagram, two secants form a vertex in the exterior of the circle. Solve for the value of "x"

a)

25

b)

100

c)

132.5

d)

92.5

62.
Find the measure of arc KM.
a)
29
b)
33
c)
41.5
d)
50
63.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
64.
a)

153°

b)

109°

c)

23°

d)

21°

65.
a)

6

b)

25

c)

24

d)

16

66.
a)

4

b)

2

c)

9

d)

3.75

67.
Find the measure of arc AD
a)
138
b)
40
c)
238
d)
122
68.
Is line AB tangent to the circle?
a)
YES
b)
NO
NO
c)
Can't Tell
Can't Tell
69.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
70.
What is the value of x?
a)
22
b)
25
c)
15
d)
20