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A circle has a radius of 7 in. Find the radian measure of the central angle 0 that intercepts an arc of length 15 in. Do not round any intermediate computations, and round your answer to the nearest tenth.​

Sagot :

The measure of the central angle is 2.15 radians if the radius of the circle is 7 in.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The radius of the circle = 7 in

Arc length = 15 in

We know,

s = rθ

s is the arc length, θ is the central angle, and r is the radius of the circle.

15 = 7θ

θ = 15/7

θ = 2.142 radians ≈ 2.15

Thus, the measure of the central angle is 2.15 radians if the radius of the circle is 7 in.

Learn more about circle here:

brainly.com/question/11833983

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