Circumference and Arc Length — Quiz

Question 1

Arc CD is 1 fourth of the circumference of a circle. What is the radian measure of the central angle?

Revolt · Accepted Answer

pi over 2 radians

Question 2

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

Revolt · Accepted Answer

0 to pi over 2 radians

Question 3

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

Revolt · Accepted Answer

4 pi over 3 radians

Question 4

Tuan has a robot with small wheels, each measuring 7 inches in diameter. During a robotics competition, each wheel completes 200 full rotations. What distance did the robot travel? Round your answer to the nearest inch. (Use π=3.14 ) Enter your answer in the box.

Revolt · Accepted Answer

4396

Question 5

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

Revolt · Accepted Answer

pi over 2 to pi radians

Question 6

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

Revolt · Accepted Answer

s is equal to theta times r

Question 7

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

Revolt · Accepted Answer

The arc lengths are proportional: m overarc CD is equal to 4 m overarc EF.

Question 8

Arc AB is 1 sixth of the circumference of a circle. What is the radian measure of the central angle?

Revolt · Accepted Answer

pi over 3

Question 9

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

Revolt · Accepted Answer

3 pi over 2 to 2 pi radians

Question 10

What is the approximate length of the diameter, d ?

Revolt · Accepted Answer

14 in.

Circumference and Arc Length — Quiz Answers

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