Question

The center on a target has a diameter of 7 inches. The whole target has a diameter of 35 inches. Complete the explanation for what part of the whole target is the center.
The center of the target takes up
% of the whole target.

Answer 1

All right, so the first step would be to find the area of both the center and the whole.

The formula for area of a circle would be
$A= \pi r^2$

The radius of the whole would be 17.5 in, and the radius of the center would be 3.5 in. Let's plug them in.

Whole:
$A= \pi *17.5^2$
$A=962.11$

Center:
$A= \pi 3.5^2$
$A=38.48$

To find the percentage, you would just have to find the fraction and turn it into a percent.
$38.48/962.11=0.04$
That's 4/100, so it would be 4%.