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Simplifying
1728 = (3.14)(r * r)(22)
Multiply r * r
1728 = 3.14(r2)(22)
Reorder the terms for easier multiplication:
1728 = 3.14 * 22r2
Multiply 3.14 * 22
1728 = 69.08r2
Solving
1728 = 69.08r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-69.08r2' to each side of the equation.
1728 + -69.08r2 = 69.08r2 + -69.08r2
Combine like terms: 69.08r2 + -69.08r2 = 0.00
1728 + -69.08r2 = 0.00
Add '-1728' to each side of the equation.
1728 + -1728 + -69.08r2 = 0.00 + -1728
Combine like terms: 1728 + -1728 = 0
0 + -69.08r2 = 0.00 + -1728
-69.08r2 = 0.00 + -1728
Combine like terms: 0.00 + -1728 = -1728
-69.08r2 = -1728
Divide each side by '-69.08'.
r2 = 25.01447597
Simplifying
r2 = 25.01447597
Take the square root of each side:
r = {-5.001447388, 5.001447388}
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