Question

find the length of each Arc List your answer A) exact form and B) approximate form

Answer 1

We have the next formula in order to find the length

$arc\text{ length =}\frac{2\pi r\theta}{360}$

where

r=5 in

θ=270°

Then we substitute the values

$\text{arc length=}\frac{2\pi(5)(270)}{360}=\frac{15}{2}\pi\text{ in}$

the exact form is

$\frac{15}{2}\pi\text{ in}$

the approximate form is

$23.56\text{ in}$