The distance around a basketball, or circumference, is about three times the circumference of a softball. Using a variable, what is the expression that represent the circumference of a basketball?

1 Answer
Jul 19, 2018

Answer:

#C_(basketball) = 6 pi r_(softball)#

or #" "C_(basketball) = 3 pi d_(softball)#

Explanation:

Given: The circumference of a basketball is 3 times the circumference of a baseball.

In terms of the radius:

#C_(softball) = 2 pi r_(softball)#

#C_(basketball) = 3 (2 pi r_(softball)) = 6 pi r_(softball) #

In terms of the diameter:

#C_(softball) = pi d_(softball)#

#C_(basketball) = 3 (pi d_(softball)) = 3 pi d_(softball)#