Question

Find the length of each arc
r=13 ft x=90 degrees

Answer 1

`13\pi/2`

Explanation:

The formula of the circumference of a circle is
`2\pi r`.

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

`2\pi *13=26\pi`

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

`26\pi*1/4=(13/2)\pi` or
`13\pi/2`

I hope this helps :)