Question

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.

Answer 1

4.25, this dude above me is not ok. 30/3.14=9.5

18-9.5=8.5

8.5/2=4.25

9.5 is the diameter of the ball and 4.25 is the space between the rim and ball if you were a robot programmed to get the ball perfectly in the center of the rim.

Answer 2

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