523=3.14(r^2)

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Solution for 523=3.14(r^2) equation: 


Simplifying
523 = 3.14(r2)

Solving
523 = 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.
523 + -3.14r2 = 3.14r2 + -3.14r2

Combine like terms: 3.14r2 + -3.14r2 = 0.00
523 + -3.14r2 = 0.00

Add '-523' to each side of the equation.
523 + -523 + -3.14r2 = 0.00 + -523

Combine like terms: 523 + -523 = 0
0 + -3.14r2 = 0.00 + -523
-3.14r2 = 0.00 + -523

Combine like terms: 0.00 + -523 = -523
-3.14r2 = -523

Divide each side by '-3.14'.
r2 = 166.5605096

Simplifying
r2 = 166.5605096

Take the square root of each side:
r = {-12.905832387, 12.905832387}

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