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

Respuesta :

4%

To find the percentage, first find the area of both circles. The area formula is [tex] \pi r^{2} [/tex] . 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: 

[tex] \frac{is}{of} = \frac{percent}{100} [/tex]


[tex] \frac{19.625}{490.625} = \frac{percent}{100} [/tex]


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