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Simplifying
19694.08 = 2 * 3.14r2 + 2 * 3.14 * 14
Multiply 2 * 3.14
19694.08 = 6.28r2 + 2 * 3.14 * 14
Multiply 2 * 3.14
19694.08 = 6.28r2 + 6.28 * 14
Multiply 6.28 * 14
19694.08 = 6.28r2 + 87.92
Reorder the terms:
19694.08 = 87.92 + 6.28r2
Solving
19694.08 = 87.92 + 6.28r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-6.28r2' to each side of the equation.
19694.08 + -6.28r2 = 87.92 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
19694.08 + -6.28r2 = 87.92 + 0.00
19694.08 + -6.28r2 = 87.92
Add '-19694.08' to each side of the equation.
19694.08 + -19694.08 + -6.28r2 = 87.92 + -19694.08
Combine like terms: 19694.08 + -19694.08 = 0.00
0.00 + -6.28r2 = 87.92 + -19694.08
-6.28r2 = 87.92 + -19694.08
Combine like terms: 87.92 + -19694.08 = -19606.16
-6.28r2 = -19606.16
Divide each side by '-6.28'.
r2 = 3122
Simplifying
r2 = 3122
Take the square root of each side:
r = {-55.874860179, 55.874860179}
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