Question

The radius of a circle is 5 inches. What is the length of a 90° arc?
90°
r=5 in

Answer 1

5π/2 inches

or 7.85 inches to the nearest hundredth.

Explanation:

The length of the arc = radius * the angle in radians.

90 degrees = π/2 radians, so

The length of the arc = 5π/ 2 inches.