Circumference and Arc Length

Question 1

Circle Q has a circumference of approximately 50 centimeters.

Revolt · Accepted Answer

C: 15.9 centimeters

Question 2

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

Revolt · Accepted Answer

r: radians

Question 3

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?

Revolt · Accepted Answer

A: Because

Question 4

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

Revolt · Accepted Answer

B:

Question 5

In circle M, diameters JL and HK each measure 16 centimeters.

Revolt · Accepted Answer

A: 3.5 cm

Question 6

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

Revolt · Accepted Answer

0: 0 to  radians

Question 7

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

Revolt · Accepted Answer

A: 20π in.

Question 8

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.

Question 9

Minor arc KL measures 135°.

Revolt · Accepted Answer

r: radians

Question 10

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

Revolt · Accepted Answer

D: to 2π radians

Circumference and Arc Length Answers

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