Question

Circle O is shown. Line segments A O and B O are radii. The length of O B is 16 inches. Angle A O B has a measure of StartFraction pi Over 4 EndFraction

In circle O, angle AOB measures radians.

What is the length of arc AB?

π in.

Answer 1

6 pie correct on edge

Explanation:

Answer 2

If you know the angle in radians, then the length of the arc is

(measure of the angle in radians) x (radius of the circle) .

In this circle, we know the angle and we know the radius.

Arc AB = ( π/4) x (16")

Arc AB = 4π inches

Arc AB = about 12.566... inches