SOLUTION: Please help me answer this question The Louisiana Superdome covers an area of 363,000 square feet. Find the diameter of this round arena to the nearest foot. Use pi = 3.14

Algebra ->  Circles -> SOLUTION: Please help me answer this question The Louisiana Superdome covers an area of 363,000 square feet. Find the diameter of this round arena to the nearest foot. Use pi = 3.14      Log On


   

Question 388878: Please help me answer this question


The Louisiana Superdome covers an area of 363,000 square feet. Find the diameter of this round arena
to the nearest foot. Use pi = 3.14.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A=pi%2Ar%5E2 Start with the area of a circle formula.


A%2Fpi=r%5E2 Divide both sides by pi.


sqrt%28A%2Fpi%29=r Take the square root of both sides to isolate "r" (note: we're only taking the positive square root since a negative radius doesn't make sense)


r=sqrt%28A%2Fpi%29 Flip the equation.


r=sqrt%28363000%2Fpi%29 Plug in A=363000.


r=sqrt%28363000%2F3.14%29 Replace pi with 3.14 (note: Use more digits of pi to get better accuracy).


r=sqrt%28115605.095541401%29 Divide (this figure is approximate).


r=340.007493360663 Take the square root of 115605.095541401 to get 340.007493360663 (again, this is approximate).


r=340 Round to the nearest foot.


Since the radius is r=340, the diameter is d=2r=2%28340%29=680 feet.


So the diameter of the arena is about 680 feet.