Question

How do you find the length of an arc of a circle, of radius 10 inches, which is intercepted by central angle 125 degrees?

Answer 1

s = `21.819` inches

Explanation:

Formula for Length of an arc in a circle:

s = `r. theta`
`theta` must be in radians

1 degree = `pi / 180` radians
``
125 degrees = `pi / 180 . 125` radians

125 degrees = `2.1819` radians

s = `r . theta`
s = `10. (2.1819)`
s = `21.819` inches