Question

A circle has a radius of 63 cm.

What is the arc length intercepted by a central angle that measures 2π/9 radians?

Express the answer in terms of π .

Answer 1

arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI

Answer 2

`14\pi\ cm`

Explanation:

we know that

The formula to calculate the arc length of the circle is equal to

`arc\ length=r \theta`

where

`r` is the radius

`\theta` is the central angle in radians

In this problem we have

`r=63\ cm`

`\theta=(2\pi)/(9)`

substitute the values

`arc\ length=63((2\pi)/(9))`

`arc\ length=14\pi\ cm`