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

Find the length of each arc r=13 ft x=90 degrees-example-1

1 Answer

2 votes

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 :)

User Alexander Subbotin
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