The perimeter C of a full circle is given by:
[tex]C=2\pi R[/tex]
where R is the radius.
We're given that:
R = 8.9 inches
π = 3.14
So, we get:
[tex]C=2\times(3.14)\times(8.9)[/tex][tex]C=55.89\text{ inches}[/tex]
However we need the perimeter of a quarter circle. We have to divide our answer by 4.
[tex]C=\frac{55.89}{4}[/tex][tex]C=13.97\text{ inches}[/tex]
And that's our final answer.
