Question

What is the length of an arc of 40° in a circle with an 8 inch radius?

Answer 1

Length = `5.587` inches

Explanation:

Length of an Arc:

Length`= (diameter).pi.(angle)/360`
diameter = `radius . 2`
diameter = 16 inches

Given `angle` = `40 degrees`

Length = `16.3.142. 40/360`
Length = `5.587` inches

Can also be calculated using `s = r.theta`

where r is measured in radians.

1 Degree = `pi / 180` radians
40 Degrees = `pi / 180 . 40` radians