Question

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

Answer 1

0.1π rad

Explanation:

The question is incomplete. Here is the complete question.

A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m. Do not round any intermediate computations, and round your answer to the nearest tenth.

The formula for calculating the length of an arc
`L = (\theta)/(360) * 2 \pi r`

θ is the central angle

r is the radius of the circle = 19m

L is the length of an arc = 5m

Substitute the given values into the formula and get the central angle θ

5 = θ/360 * 2(22/7)*19

5 = θ/2π * 119.4285714

θ/2π = 5/119.4285714

θ/2π = 0.041866

θ = 2π*0.041866

θ = 0.083732π

θ = 0.1π rad (to the nearest tenth)

Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad