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Simplifying
100 = 3.14r2 * 8
Reorder the terms for easier multiplication:
100 = 3.14 * 8r2
Multiply 3.14 * 8
100 = 25.12r2
Solving
100 = 25.12r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-25.12r2' to each side of the equation.
100 + -25.12r2 = 25.12r2 + -25.12r2
Combine like terms: 25.12r2 + -25.12r2 = 0.00
100 + -25.12r2 = 0.00
Add '-100' to each side of the equation.
100 + -100 + -25.12r2 = 0.00 + -100
Combine like terms: 100 + -100 = 0
0 + -25.12r2 = 0.00 + -100
-25.12r2 = 0.00 + -100
Combine like terms: 0.00 + -100 = -100
-25.12r2 = -100
Divide each side by '-25.12'.
r2 = 3.98089172
Simplifying
r2 = 3.98089172
Take the square root of each side:
r = {-1.995217211, 1.995217211}
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