Circumference and Arc Length

Circle O has a circumference of approximately 250pi ft. What is the approximate length of the diameter, d?

250 ft

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

0 to pi/2 radians

Circle P has a circumference of approximately 75 inches. What is the approximate length of the radius, r? Use 3.14 for pi. Round to the nearest inch.

12 inches

Consider circle T with radius 24 in. and θ = 5 pi/6 radians. What is the length of minor arc SV?

20 pi in.

Minor arc KL measures 135°.Which is the radian measure of central angle KOL?

3 pi/4 radians

In circle M, diameters JL and HK each measure 16 centimeters. What is the approximate length of minor arc JH? Round to the nearest tenth of a centimeter.

3.5 cm

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?

The arc lengths are proportional: CD = 6EF

Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?

pi/2 radians

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

pi/2 to pi radians

Arc AB is 1/6 of the circumference of a circle. What is the radian measure of the central angle?

pi/3