Find the length of an arc of an 8" radius circle if the arc measures 45°.

Solution:

Given, angle of arc, C = 45°

Radius of circle, r = 8 inches

We have to find the length of an arc of a circle.

Length of an arc = 2πr(C/360°)

So, length of an arc = 2π(8)(45°/360°)

= 16π(1/8°)

= 16(3.14)(0.125)

= 50.24(0.125)

= 6.28 inches.

Therefore, the length of the arc is 6.28 inches.

Find the length of an arc of an 8" radius circle if the arc measures 45°.

Summary:

The length of an arc of an 8” radius circle, if the arc measures 45° is 6.28 inches.