Sheldon cuts a circle with a diameter of 14 centimeters from a square piece of felt 15 inches on each side. In terms of pi, how much felt is left over?

Show Work

15 x 15 = 225 square inches

The circle cut from the felt

= PI * radius^2

= PI * 7^2

= 49 * PI

49 * PI = 153.94

225 - 153.94 = 71.06

71.06 felt is left over

The entire area of the felt is 15 x 15 = 225 square inches

The circle cut from the felt =

circle area = PI * radius^2

circle area = PI * 7^2

circle area = 49 * PI

49 * PI = 153.94

Left over felt 225 - 153.94 = 71.06