Question

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.

Answer 1

2.7 radians

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Explanation:

Answer 2

Answer: 2.7 radians.

Explanation:

The formula we use to find the length of the arc :-

`l=\theta r` , where
`\theta` is the measure of the central angle (in radians )and r is the radius .

Given : An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in.

i.e. l= 8 in. and r = 3 in.

From the above formula , we have

`8=\theta (3)\\\\\Rightarrrow\ \theta=(8)/(3)=2.66666666667\approx2.7\text{ radians}` [Rounded to the nearest tenth.]

Hence, the measure of the angle = 2.7 radians.