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Unit 10 Review

Total questions: 89

Worksheet time: 4hrs 23mins

Name
Class
Date
1.

What is being represented in the image?

a)

Curve

b)

Chord

c)

Arc

d)

Partial

2.

What is being represented in the image?

a)

Central Angle

b)

Interior Angle

c)

Chord

d)

Diameter

3.

What is being represented in the image?

a)

Radius

b)

Tangent

c)

Interior Angle

d)

Exterior Angle

4.

What is being represented in the image?

a)

Radius

b)

Diameter

c)

Inscribed Angle

d)

Secant

5.

What is being represented in the image?

a)

Interior Angles

b)

Inscribed Angles

c)

Diameter

d)

Concentric Circles

6.

What is being represented in the image?

a)

Secant

b)

Chord

c)

Tangent

d)

Inscribed Angle

7.

What is being represented in the image?

a)

Tangent

b)

Concentric Circles

c)

Exterior Angle

d)

Secant

8.

What is being represented in the image?

a)

Inscribed Angle

b)

Interior Angle

c)

Secant

d)

Radius

9.

What is being represented in the image?

a)

Diameter

b)

Chord

c)

Radius

d)

Concentric Circles

10.

What is being represented in the image?

a)

Chords

b)

Tangents

c)

Exterior Angle

d)

Central Angle

11.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
12.
The _____ is the distance from the center to any point on the circle.
a)
diameter
b)
radius
c)
π
d)
center
13.
The distance across a circle through its center is called the _____.
a)
diameter
b)
radius
c)
π
d)
center
14.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
15.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
16.
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
17.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the 
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
18.
The circumference of a circle is
a)
The measurement from an edge of a circle to another edge.
b)
The measurement around the circle
c)
The measurement from an edge of a circle to another edge going through the center
d)
The measurement from the center of the circle to an edge of the circle
19.
Daniel wants to buy cookies for her friend. The
radius of a cookie is 5 inches. What is the cookie’s 
circumference?   Use C=2πr
Pi = 3.14
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
20.
What is the formula for Circumference?
a)
C = π×r²
b)
C = 2×π×r
21.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the distance around the bowl?
a)
21.98 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
22.
A Circle has a radius of 4.  What is the circumference of the circle? (Best Choice)
a)
4π or about 12.56
b)
16π or about 50.24
c)
2π or about 6.28
d)
8π or about 25.12
23.
A Circle has a radius of 6 inches.  What is the circumference of the circle? (Best Choice)
a)
3π or about 9.42 in
b)
6π or about 18.84 in
c)
12π or about 37.68 in
d)
36π or about 113.04 in 
24.
A Circle has a radius of 6 inches.  What is the area of the circle? (Best Choice)
a)
3π or about 9.42 in2
b)
6π or about 18.84 in2
c)
12π or about 37.68 in2
d)
36π or about 113.04 in2 
25.
A Circle has a diameter of 10 centimeters.  What is the area of the circle? (Best Choice)
a)
5π or about 15.7 cm2
b)
10π or about 31.4 cm2
c)
25π or about 78.5 cm2
d)
100π or about 314 cm2 
26.
A Circle has a radius of 12 inches.  What is the area of the circle? (Best Choice)
a)
24π or about 75.36 in2
b)
12π or about 37.68 in2
c)
144π or about 452.16 in2
d)
576π or about 1,808.64 in2 
27.
A Circle has a diameter of 18 meters.  What is the area of the circle? (Best Choice)
a)
9π or about 28.26 m2
b)
18π or about 56.52 m2
c)
81π or about 254.34m2
d)
324π or about 1017.36 m2 
28.
A circular window has a diameter of 24 inches.  What is the area of the glass in the window ? (Best Choice)
a)
24π or about 75.36 in2
b)
12π or about 37.68 in2
c)
576π or about 1,808.64 in2
d)
144π or about 452.16 in2 
29.
A center circle on a basketball court has a diameter of 12 feet.  How long is the line that wraps around the circle? (Best Choice)
a)
6π or about 18.84 ft
b)
12π or about 37.68 ft
c)
36π or about 113.04 ft
d)
144π or about 452.16 ft
30.
A center circle on a basketball court has a diameter of 12 feet.  What is the area of the circle? (Best Choice)
a)
6π or about 18.84 ft2
b)
12π or about 37.68 ft2
c)
36π or about 113.04 ft2
d)
144π or about 452.16 ft2
31.
A Circle has a radius of 10 meters.  What is the area of the circle? (Best Choice)
a)
5π or about 15.7 m2
b)
10π or about 31.4 m2
c)
20π or about 62.8 m2
d)
100π or about 314 m2 
32.
A flower pot has a radius of 8 inches.  What is the area of the (top of the) flower pot? (Best Choice)
a)
4π or about 12.56 in2
b)
8π or about 25.12 in2
c)
16π or about 50.24 in2
d)
64π or about 200.96 in2
33.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
34.
Ms. Renaud has a bowl that she wants to fill to the top with milk. The radius of the bowl is 3 in. How much milk can she fill the bowl with?
a)
28.26 in2
b)
113.04 in2
c)
14.13 in2
d)
18.84 in2
35.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the distance around the bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
36.

 Find the degree measure of arc PQPQ

(a)  

37.

 Find the degree measure of arc STST

a)

64

b)

42

c)

74

d)

106

38.

 Find the degree measure of arc  QSQS  

(a)  

39.

 Find the degree measure of arc  QRQR

(a)  

40.

 Find the degree measure of arc  RQSRQS  

a)

42

b)

318

c)

286

d)

222

41.

 Find the degree measure of arc  TQRTQR  

(a)  

42.

Find the degree measure of arc  ABDABD  

(a)  

43.

Find the degree measure of arc  DABDAB  

(a)  

44.

Find the degree measure of arc ACBACB  

a)

180

b)

240

c)

270

d)

300

45.

First solve for x. Then enter the degree measure for     arc  UVUV below.

(a)  

46.

Find the length of the arc.

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

47.
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
48.
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)
60
b)
45
c)
63
d)
81
49.
Find the arc length.  Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
50.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
51.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

52.
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)
8
c)
9
d)
12
53.
Find the arc length of arc AB.
a)
12.57 units
b)
75.40 units
c)
24 units
d)
125.66 units
54.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
55.

Give an example of a chord

a)

line HI

b)

line KL

c)

line GH

d)

line GJ

56.
Find x
a)
10
b)
5
c)
18
d)
9
57.
In a circle (or congruent circles), congruent arcs:
a)
have congruent chords
b)
have congruent points
c)
are twice the measure of their radii
d)
can climb a hippo
58.
In a circle (or congruent circles), chords that are the same distance from the center:
a)
are similar
b)
have the same name
c)
are congruent to each other
d)
are walking dead
59.
In a circle, if a diameter is is perpendicular to a chord, then:
a)
it bisects the chord
b)
it bisects the corresponding arc
c)
it bisects BOTH the chord and its arc
d)
none of these answers are correct
60.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
61.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

62.

What is the measure of arc FE?

a)

54°

b)

126°

c)

117°

d)

31.5°

63.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

64.

What is x?

a)

5

b)

23

c)

2

d)

28

65.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

66.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

67.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc AD = 156° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

68.

What is the measure of the indicated angle?

(a)  

69.

If arc VY = 132° and arc XV = 50°, what is the measure of ∠ YUV?

a)

82°

b)

91°

c)

182°

d)

41°

70.
a)
33
b)
18
c)
46
d)
16
71.
a)
6
b)
8
c)
10
d)
5
72.
a)
8
b)
6
c)
9
d)
10
73.
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)
74.
In the equation (x-4)2+(y-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
75.
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
a)
(-3, -4)
b)
(4, 3)
c)
(-4, -3)
d)
(3, 4)
76.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
77.
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
78.
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
79.
See Picture
a)
A
b)
B
c)
C
80.
See Picture
a)
A
b)
B
c)
C
d)
D
81.
What is 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
82.
a)
A
b)
B
c)
C
d)
D
83.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
84.
What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?
a)
4
b)
8
c)
4√2
d)
2√2
85.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
86.
The image provided is the equation of a(n)...
a)
circle
b)
ellipse
c)
parabola
d)
hyperbola
87.

What is the standard equation of a circle?

a)

(x-k)2 + (y-h)2 = r2

b)

(x+h)2 + (y+k)2 = r2

c)

(x-h)2 + (y-k)2 = r2

d)

(k-x)2 + (h-y)2 = r2

88.

What does (h,k) standard for in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is a point that we guess and find

d)

(h,k) is the distance of the circle

89.

What does the r in the standard equation stand for?

a)

r is the distance of the circle

b)

r is the radius of the circle

c)

r is the x coordinate of the center of the circle

d)

r is the y coordinate of the center of the circle

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