Question

?A circle has a radius of 11 in. Find the radian measure of the central angle 0 that intercepts an arc of length 5 in. Do not round any intermediate computations, and round your answer to the nearest tenth

Answer 1

The value of the θ is equal to 2.2.

We have given that,

the radian measure of the central angle 0 that intercepts an arc of length 5 in.

We have to determine the radian measure of the central angle 0 that intercepts an arc of length 5 in.

What is the formula of Arc length ?

s = θr

s = arc length = 10 feet

θ = central angler in radians

r = radius = 7 feet

s = θr

11 = θ·5

θ=11/5

Solve for θ. Units are radians.

θ=2.2

Therefore the value of the θ is equal to 2.2.

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