Circumference and Arc Length

Question 1

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°.

Revolt · Accepted Answer

14.2 cm

Question 2

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 3

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

Revolt · Accepted Answer

3.5 cm

Question 4

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

Revolt · Accepted Answer

20π in.

Question 5

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

Because

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 to 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?

Revolt · Accepted Answer

radians

Question 9

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

Revolt · Accepted Answer

to π radians

Question 10

Minor arc KL measures 135°.

Revolt · Accepted Answer

radians

Circumference and Arc Length Answers

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