Question 388878
{{{A=pi*r^2}}} Start with the area of a circle formula.



{{{A/pi=r^2}}} Divide both sides by {{{pi}}}.



{{{sqrt(A/pi)=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(A/pi)}}} Flip the equation.



{{{r=sqrt(363000/pi)}}} Plug in {{{A=363000}}}.



{{{r=sqrt(363000/3.14)}}} Replace {{{pi}}} with {{{3.14}}} (note: Use more digits of {{{pi}}} to get better accuracy).



{{{r=sqrt(115605.095541401)}}} 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(340)=680}}} feet.



So the diameter of the arena is about 680 feet.