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Simplifying
120 = 3.14r2(6)
Reorder the terms for easier multiplication:
120 = 3.14 * 6r2
Multiply 3.14 * 6
120 = 18.84r2
Solving
120 = 18.84r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-18.84r2' to each side of the equation.
120 + -18.84r2 = 18.84r2 + -18.84r2
Combine like terms: 18.84r2 + -18.84r2 = 0.00
120 + -18.84r2 = 0.00
Add '-120' to each side of the equation.
120 + -120 + -18.84r2 = 0.00 + -120
Combine like terms: 120 + -120 = 0
0 + -18.84r2 = 0.00 + -120
-18.84r2 = 0.00 + -120
Combine like terms: 0.00 + -120 = -120
-18.84r2 = -120
Divide each side by '-18.84'.
r2 = 6.369426752
Simplifying
r2 = 6.369426752
Take the square root of each side:
r = {-2.523772326, 2.523772326}
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