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