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

4%

Explanation:

35 divided by 7 is 5 therefore since it is a percentage that is needed, the percent is always lower then the original.

Answer 2

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%.