Question

Find the length of the arc of a circle of radius 5 inches subtended by a central angle of 220 degrees. Round your answer to the nearest hundredth.The length of the arc is Answer inches.

Answer 1

Given:

a circle of radius = r = 5 inches

We will find the length of the arc subtended by a central angle of 220 degrees

We will use the following formula:

$arc\text{ }length=\theta *\frac{\pi}{180}*r$

Substitute with r = 5, and θ = 220

So, the langth of the arc will be as follows:

$220*\frac{\pi}{180}*5=19.19862$

Rounding to the nearest hundredth

So, the answer will be the length of the arc = 19.20 inches