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

Answer: 2.7 radians.

Step-by-step 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

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

Hence, the measure of the angle = 2.7 radians.

Answer 2

Answer:

2.7 radians

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Step-by-step explanation: