AnswersMASTER COURSE GeometryCircumference and Arc Length

Circumference and Arc Length — Quiz Answers

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21
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An arc on a circle measures 125 degrees The measure of the central angle, in radians, is within which range?

A
3 pi over 2 to 2 pi radians
B
0 to pi over 2 radians
C
pi over 2 to pi radians
D
pi to 3 pi over 2 radians
22
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An arc on a circle measures 85 degrees The measure of the central angle, in radians, is within which range?

A
0 to pi over 2 radians
B
pi to 3 pi over 2 radians
C
3 pi over 2 to 2 pi radians
D
pi over 2 to pi radians
24

In each circle, a 50 degrees angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related? Expand Image

A
They are the same because the central angle measure is the same.
B
The arc lengths are proportional: m overarc CD is equal to 6 m overarc EF.
C
The arc lengths are proportional: m overarc CD is equal to 4 m overarc EF.
D
The arc lengths are proportional: m overarc CD is equal to 2 m overarc EF.
25

An arc on a circle measures 295 degrees The measure of the central angle, in radians, is within which range?

A
3 pi over 2 to 2 pi radians
B
pi to 3 pi over 2 radians
C
0 to pi over 2 radians
D
pi over 2 to pi radians
26

Arc CD is 2 thirds of the circumference of a circle. What is the radian measure of the central angle?

A
2 pi over 3 radians
B
4 pi over 3 radians
C
3 pi over 4 radians
D
3 pi over 2 radians
29

In each circle, a 50 degrees angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related? Expand Image

A
They are the same because the central angle measure is the same.
B
The arc lengths are proportional: m overarc CD is equal to 4 m overarc EF.
C
The arc lengths are proportional: m overarc CD is equal to 6 m overarc EF.
D
The arc lengths are proportional: m overarc CD is equal to 2 m overarc EF.
30

Arc CD is 2 thirds of the circumference of a circle. What is the radian measure of the central angle?

A
4 pi over 3 radians
B
3 pi over 4 radians
C
2 pi over 3 radians
D
3 pi over 2 radians
31

In each circle, a 50 degrees angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related? Expand Image

A
The arc lengths are proportional: m overarc CD is equal to 2 m overarc EF.
B
The arc lengths are proportional: m overarc CD is equal to 6 m overarc EF.
C
They are the same because the central angle measure is the same.
D
The arc lengths are proportional: m overarc CD is equal to 4 m overarc EF.
32

In the diagram, theta is measured in radians. Which equation represents the relationship between the radius, r , and arc length, s ? Expand Image

A
s is equal to theta plus r
B
s is equal to theta times r
C
r is equal to theta times s
D
r is equal to theta plus s
33

An arc on a circle measures 125 degrees The measure of the central angle, in radians, is within which range?

A
pi to 3 pi over 2 radians
B
0 to pi over 2 radians
C
pi over 2 to pi radians
D
3 pi over 2 to 2 pi radians
34

An arc on a circle measures 85 degrees The measure of the central angle, in radians, is within which range?

A
0 to pi over 2 radians
B
pi to 3 pi over 2 radians
C
pi over 2 to pi radians
D
3 pi over 2 to 2 pi radians
35

An arc on a circle measures 85 degrees The measure of the central angle, in radians, is within which range?

A
0 to pi over 2 radians
B
pi to 3 pi over 2 radians
C
3 pi over 2 to 2 pi radians
D
pi over 2 to pi radians
36

Arc CD is 2 thirds of the circumference of a circle. What is the radian measure of the central angle?

A
2 pi over 3 radians
B
3 pi over 2 radians
C
3 pi over 4 radians
D
4 pi over 3 radians
38

In each circle, a 50 degrees angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related? Expand Image

A
The arc lengths are proportional: m overarc CD is equal to 4 m overarc EF.
B
The arc lengths are proportional: m overarc CD is equal to 2 m overarc EF.
C
They are the same because the central angle measure is the same.
D
The arc lengths are proportional: m overarc CD is equal to 6 m overarc EF.

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