500=(3.14)(r^2)

Solution for 500=(3.14)(r^2) equation:

Simplifying
500 = (3.14)(r2)

Solving
500 = 3.14r2

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-3.14r2' to each side of the equation.
500 + -3.14r2 = 3.14r2 + -3.14r2

Combine like terms: 3.14r2 + -3.14r2 = 0.00
500 + -3.14r2 = 0.00

Add '-500' to each side of the equation.
500 + -500 + -3.14r2 = 0.00 + -500

Combine like terms: 500 + -500 = 0
0 + -3.14r2 = 0.00 + -500
-3.14r2 = 0.00 + -500

Combine like terms: 0.00 + -500 = -500
-3.14r2 = -500

Divide each side by '-3.14'.
r2 = 159.2356688

Simplifying
r2 = 159.2356688

Take the square root of each side:
r = {-12.618861629, 12.618861629}