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:


`(is)/(of) = (percent)/(100)`



`(19.625)/(490.625) = (percent)/(100)`


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