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Simplifying
48 = 3.14r2 * 9
Reorder the terms for easier multiplication:
48 = 3.14 * 9r2
Multiply 3.14 * 9
48 = 28.26r2
Solving
48 = 28.26r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-28.26r2' to each side of the equation.
48 + -28.26r2 = 28.26r2 + -28.26r2
Combine like terms: 28.26r2 + -28.26r2 = 0.00
48 + -28.26r2 = 0.00
Add '-48' to each side of the equation.
48 + -48 + -28.26r2 = 0.00 + -48
Combine like terms: 48 + -48 = 0
0 + -28.26r2 = 0.00 + -48
-28.26r2 = 0.00 + -48
Combine like terms: 0.00 + -48 = -48
-28.26r2 = -48
Divide each side by '-28.26'.
r2 = 1.6985138
Simplifying
r2 = 1.6985138
Take the square root of each side:
r = {-1.303270425, 1.303270425}
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