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Simplifying
550.8816 = 2 * 3.14r2 + 2 * 3.14r2 * 16.1
Multiply 2 * 3.14
550.8816 = 6.28r2 + 2 * 3.14r2 * 16.1
Reorder the terms for easier multiplication:
550.8816 = 6.28r2 + 2 * 3.14 * 16.1r2
Multiply 2 * 3.14
550.8816 = 6.28r2 + 6.28 * 16.1r2
Multiply 6.28 * 16.1
550.8816 = 6.28r2 + 101.108r2
Combine like terms: 6.28r2 + 101.108r2 = 107.388r2
550.8816 = 107.388r2
Solving
550.8816 = 107.388r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-107.388r2' to each side of the equation.
550.8816 + -107.388r2 = 107.388r2 + -107.388r2
Combine like terms: 107.388r2 + -107.388r2 = 0.000
550.8816 + -107.388r2 = 0.000
Add '-550.8816' to each side of the equation.
550.8816 + -550.8816 + -107.388r2 = 0.000 + -550.8816
Combine like terms: 550.8816 + -550.8816 = 0.0000
0.0000 + -107.388r2 = 0.000 + -550.8816
-107.388r2 = 0.000 + -550.8816
Combine like terms: 0.000 + -550.8816 = -550.8816
-107.388r2 = -550.8816
Divide each side by '-107.388'.
r2 = 5.129824561
Simplifying
r2 = 5.129824561
Take the square root of each side:
r = {-2.264911601, 2.264911601}
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