AnswersMASTER COURSE GeometryCircumference and Arc Length

Circumference and Arc Length — Quiz Answers

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41
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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 times r
B
r is equal to theta plus s
C
r is equal to theta times s
D
s is equal to theta plus r
42
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An arc on a circle measures 295 degrees The measure of the central angle, in radians, is within which range?

A
pi over 2 to pi radians
B
pi to 3 pi over 2 radians
C
3 pi over 2 to 2 pi radians
D
0 to pi over 2 radians
43

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

A
r is equal to theta plus s
B
r is equal to theta times s
C
s is equal to theta plus r
D
s is equal to theta times r
44

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

A
r is equal to theta times s
B
s is equal to theta times r
C
s is equal to theta plus r
D
r is equal to theta plus s
45

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

A
pi over 2 to pi radians
B
0 to pi over 2 radians
C
pi to 3 pi over 2 radians
D
3 pi over 2 to 2 pi radians
49

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 4 radians
C
3 pi over 2 radians
D
4 pi over 3 radians
52

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
They are the same because the central angle measure is the same.
C
The arc lengths are proportional: m overarc CD is equal to 2 m overarc EF.
D
The arc lengths are proportional: m overarc CD is equal to 6 m overarc EF.
53

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

A
pi over 2 to pi radians
B
3 pi over 2 to 2 pi radians
C
pi to 3 pi over 2 radians
D
0 to pi over 2 radians
54

An arc on a circle measures 125 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
55

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
pi over 2 to pi radians
C
pi to 3 pi over 2 radians
D
0 to pi over 2 radians
59

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

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

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