Question

The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes up ____% of the whole target

Answer 1

4%

To find the percentage, first find the area of both circles. The area formula is $\pi r^{2}$ . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up: 

$\frac{is}{of} = \frac{percent}{100}$


$\frac{19.625}{490.625} = \frac{percent}{100}$


Cross multiplying and dividing by 490.625 will give a total of 4%.