Question

The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball in the room in a shot in which the ball goes exactly in the center of the room? Show your work

Thanks so much in advance ! :))

Answer 1

The distance between the ball in the room is
`4.2\ in`

Explanation:

We know that for a circumference the radius is equal to half the diameter.

`r =(d)/(2)`

The diameter of the basketball hoop is 18 inches.

Then the radius of the hoop is:

`r = (18)/(2)\\\\r = 9\ inches`

If, the circumference of the ball is 30 inches then the circumference C is:

`C = 2(\pi)r=30`

And the radius of the ball is:

`30 = 2(\pi)r\\\\r =(15)/(\pi)`

So the distance between the ball and the ring will be equal to the difference of both radius.

`k = 9-(15)/(\pi)\\\\k = 4.2\ in`