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Simplifying
10000 = 3.14r2(20)
Reorder the terms for easier multiplication:
10000 = 3.14 * 20r2
Multiply 3.14 * 20
10000 = 62.8r2
Solving
10000 = 62.8r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-62.8r2' to each side of the equation.
10000 + -62.8r2 = 62.8r2 + -62.8r2
Combine like terms: 62.8r2 + -62.8r2 = 0.0
10000 + -62.8r2 = 0.0
Add '-10000' to each side of the equation.
10000 + -10000 + -62.8r2 = 0.0 + -10000
Combine like terms: 10000 + -10000 = 0
0 + -62.8r2 = 0.0 + -10000
-62.8r2 = 0.0 + -10000
Combine like terms: 0.0 + -10000 = -10000
-62.8r2 = -10000
Divide each side by '-62.8'.
r2 = 159.2356688
Simplifying
r2 = 159.2356688
Take the square root of each side:
r = {-12.618861629, 12.618861629}
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