Question

For a circle of radius 8 feet, how do you find the arc length of a central angle of 60°?

Answer 1

Arc length `color(red)(C_(arc) = 8.3776’)`

Explanation:

Circumference of a circle `C = 2pi r` where r is the radius of the

circle and `2pi^c is = 360^0`

Arc length `C_(arc) = (d/360) * 2pir`

Given `d = 60^0`

`:. C_(arc) = (cancel(60) / (cancel(360) color(red)(6))) ( *2 * pi * 8)`

`C_(arc) = (16 pi) / 6 = color(blue)(8.3776’)`