Circumference and Arc Length

Question 1

Consider circle T with radius 24 in. and θ = radians.

Revolt · Accepted Answer

20π in.

Question 2

Circle Q has a circumference of approximately 50 centimeters.

Revolt · Accepted Answer

15.9 centimeters

Question 3

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

Revolt · Accepted Answer

0 to radians

Question 4

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

Revolt · Accepted Answer

The arc lengths are proportional: .

Question 5

Circle O has a circumference of approximately 44 in.

Revolt · Accepted Answer

14 in.

Question 6

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

Revolt · Accepted Answer

radians

Question 7

Circle P has a circumference of approximately 75 inches.

Revolt · Accepted Answer

12 inches

Question 8

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

Question 9

Circle Q has a circumference of approximately 50 centimeters.

Question 10

Two circles are shown in the diagram.Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values d1 = 1, C1 = π, and d2 = 2r into the proportion.Which shows how to correctly solve for C2, the circumference of any circle with radius r?

Circumference and Arc Length Answers

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