Circumference And Arc Length

7 September 2022
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10 test answers

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question
An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?
answer
pi/2 to pi radians
question
Arc CD is 1/4 of the circumference of a circle. What is the radian measure of the central angle?
answer
pi/2 radians
question
An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?
answer
0 to pi/2 radians
question
Minor arc KL measures 135°.Which is the radian measure of central angle KOL?
answer
3 pi/4 radians
question
Consider circle T with radius 24 in. and θ = 5 pi/6 radians. What is the length of minor arc SV?
answer
20 pi in.
question
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.
answer
3.5 cm
question
Arc AB is 1/6 of the circumference of a circle. What is the radian measure of the central angle?
answer
pi/3
question
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.
answer
12 inches
question
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?
answer
The arc lengths are proportional: CD = 6EF
question
Circle O has a circumference of approximately 250pi ft. What is the approximate length of the diameter, d?
answer
250 ft