The diameter of a basketball rim is 18 inches. a standard basketball has a circumference of 30 inches. about how much room is there between the ball and the rim in a shot in which the ball goes in exactly in the center of the rim? show your work.

Diameter of the basketball rim = 18 inches
Circumference of the standard basketball = 30 inches

Area of circle = π r² 

Basketball rim = 3.14 * (18/2)² = 3.14 * 9² = 3.14 * 81 = 254.34 in²

Circumference of a circle = 2 π r
30 = 2 * 3.14 * r
r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches

Standard basketball = 3.14 * (4.78)² = 3.14 * 22.85 = 71.75 in²

254.34 - 71.75 = 182.59 in²