Question 221435
For a circle, the area is given by:
{{{A = pi*r^2}}} or, if you have the diameter, substitute {{{r = d/2}}}
{{{A = pi*(d/2)^2}}} So now, if you substitute {{{A = 113.097}}} and solve for d, you get:
{{{113.097 = pi(d/2)^2}}} Then square the parentheses.
{{{113.097 = pi*d^2/4}}} Multiply both sides by 4.
{{{452.382 = pi*d^2}}} Divide both sides by {{{pi}}}.
{{{452.382/pi = d^2}}} Finally, take the square root of both sides.
{{{sqrt(452.382/pi) = d}}} Evaluate this and you'll have your answer!