Question

Basketballs used in professional games must have a circumference of 29 inches.

What is the surface area of a basketball used in a professional game?

Answer 1

Answer: 841 / pi inches^2

Explanation:

circumference of circle on the sphere = 2*pi*r

surface area of sphere = 4 * pi * r^2

29 inches = 2 * pi * r

r = 29 / (2 * pi) inches

surface area of sphere = 4 * pi * r^2

= (2 * pi * r) * 2 * r

= (29 inches) * 2 * (29 / (2 * pi) inches)

= (29 inches) * (29 / (pi) inches)

= 841 / pi

exact answer is 841 / pi inches^2

which is approximately 267.7 inches^2