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Simplifying
6611.584 = 2 * 3.14r2 + 2 * 3.14 * 61.2
Multiply 2 * 3.14
6611.584 = 6.28r2 + 2 * 3.14 * 61.2
Multiply 2 * 3.14
6611.584 = 6.28r2 + 6.28 * 61.2
Multiply 6.28 * 61.2
6611.584 = 6.28r2 + 384.336
Reorder the terms:
6611.584 = 384.336 + 6.28r2
Solving
6611.584 = 384.336 + 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.
6611.584 + -6.28r2 = 384.336 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
6611.584 + -6.28r2 = 384.336 + 0.00
6611.584 + -6.28r2 = 384.336
Add '-6611.584' to each side of the equation.
6611.584 + -6611.584 + -6.28r2 = 384.336 + -6611.584
Combine like terms: 6611.584 + -6611.584 = 0.000
0.000 + -6.28r2 = 384.336 + -6611.584
-6.28r2 = 384.336 + -6611.584
Combine like terms: 384.336 + -6611.584 = -6227.248
-6.28r2 = -6227.248
Divide each side by '-6.28'.
r2 = 991.6
Simplifying
r2 = 991.6
Take the square root of each side:
r = {-31.489680849, 31.489680849}
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