Question

Find the length of the​ arc, s, on a circle of radius r intercepted by a central angle 0. Express the arc length in terms of π. Then round your answer to two decimal places. ​Radius, r​ = 10 ​inches; Central​ angle, 0 ​= 90(degrees)

Answer 1

5π or 15.71 inches

Explanation:

Length of an arc =
`(x)/(360)` × 2πr

Where x is the angle and r is the radius

so
`(90\\)/(360)` × 2 × π × 10

0.25 × 2 × π × 10

Arc length = 5π inches (answer in terms of π)

= 15.71 inches (answer in two decimal places)