Question

Find the linear measure of an arc whose central angle is 144 on a circle of radius 35 inches

Answer 1

The linear measure of an arc whose central angle is 144 on a circle of radius 35 inches is 28π inches or about 87.96 inches

Explanation:

The linear measure of an arc is given by

`s = 2\pi r(\alpha/360)`

Where, α is the central angle (in degrees) of the arc

In our case,

r = 35 inches

α = 144 degrees

So, the linear measure would be,

`s = 2\pi(35) (144/360)\\s = 28\pi \\`

so s = 28π inches

or about 87.96 inches