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? Please walk me through it

Question

britanyashton · Answer

Do you know the formula for the circumference of a circle? If so right it down, I'll tell you what to do from there.

anonymous · Answer

2*pi*r

britanyashton · Answer

Ok, I took this last year (Geometry right?) so lemme draw this out first.

anonymous · Answer

Ya geometry b

anonymous · Answer

Unit 4 Lesson 9

britanyashton · Answer

Oh darn xD oopsie! they give the c for the basketball! not the hoop! i'm so stupid. 
Well you can solve for r with the given info 
to find that, then plug it into the area formula for the circle
then do that for the hoop too..
then subtract the area for the basketball hoop from the area of the basketball!
sorry!

britanyashton · Answer

I really need to read stuff closer! I was wondering "what the heck" :P But yeah!

anonymous · Answer

Thank you though

britanyashton · Answer

First step, plug in the diameter of the basketball hoop into the circumference formula to isolate the radius. then once you find the radius, plug it into the area formula. (then look for the area)
second step, you're given the circumference of the basketball hoop. plug that into the circumference formula, isolate terms to get the necesary information to find the area. 
subtract areas to find the difference and that will be the leftover space in between the ball and the hoop!
Good luck!