320(3.14)=(r^2)20

Solution for 320(3.14)=(r^2)20 equation:

Simplifying
320(3.14) = (r2) * 20

Multiply 320 * 3.14
1004.8 = (r2) * 20

Reorder the terms for easier multiplication:
1004.8 = 20r2

Solving
1004.8 = 20r2

Solving for variable 'r'.

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

Add '-20r2' to each side of the equation.
1004.8 + -20r2 = 20r2 + -20r2

Combine like terms: 20r2 + -20r2 = 0
1004.8 + -20r2 = 0

Add '-1004.8' to each side of the equation.
1004.8 + -1004.8 + -20r2 = 0 + -1004.8

Combine like terms: 1004.8 + -1004.8 = 0.0
0.0 + -20r2 = 0 + -1004.8
-20r2 = 0 + -1004.8

Combine like terms: 0 + -1004.8 = -1004.8
-20r2 = -1004.8

Divide each side by '-20'.
r2 = 50.24

Simplifying
r2 = 50.24

Take the square root of each side:
r = {-7.088018059, 7.088018059}