Question

A circle has a radius of 6. An arc in this circle has a central angle of 48º.

What is the length of the arc?

Answer 1

(8/5)π units

Explanation:

The arc length formula is s = rФ, where Ф is the central angle in radians.

Converting 48° to radians:

48° π 4π

----- * ------- = -------- radians

1 180° 15

The arc length in this case is s = rФ = 6*4π/15 units, or (8/5)π units