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

Question

asked Sep 2, 2021 215k views

1 Answer

Alexander Subbotin · Answer 1 · 2021-09-07T07:10:51+0000

Answer:

$13\pi/2$

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 :)