Question

The radius of a quarter circle is 8.9 inches. What is the quarter circle's perimeter?Use 3.14 for n and round your answer to the nearest hundredth.

Answer 1

The perimeter C of a full circle is given by:

`C=2\pi R`

where R is the radius.

We're given that:

R = 8.9 inches

π = 3.14

So, we get:

`C=2*(3.14)*(8.9)`
`C=55.89\text{ inches}`

However we need the perimeter of a quarter circle. We have to divide our answer by 4.

`C=(55.89)/(4)`
`C=13.97\text{ inches}`

And that's our final answer.