Question

How do you find the length of an arc of a circle with a radius of 15 cm if the arc subtends a central angle of 60 degrees?

Answer 1

Arc length = `5pi` cm.

Explanation:

`60^o = pi/3` radians

Radians are a measure of arc length for a unit circle.

If the arc length is `pi/3` for a unit circle (that is a circle with radius 1)

The arc length for the same angle for a circle with radius 15 would be
`color(white)("XXXX")` `15*pi/3 = 5pi`