Question

Find the arc length of AB. Round answer to nearest tenth.

Answer 1

9.8 inches

Explanation:

Set up a proportion:

central angle / 360 = arc length / circumference

`(80)/(360)` =
`(x)/(14\pi )`

360 divided by 14pi is about 8.2, so divide 80 by 8.2 to find x.

x = 9.8 in

Answer 2

9.8 inches

Explanation:

The formula for arc length is (θ/360)2πr

This is where θ represents the measure of the central angle in degrees,

and r represents the radius of the circle.

This said, we can plug our values in.

(80/360)2π7

Simplify.

(2/9)14/π

28/9π

9.7738438112

Round to nearest tenth.

9.8