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Simplifying
100 = 10(3.14(r * r))
Multiply r * r
100 = 10(3.14(r2))
Remove parenthesis around (3.14r2)
100 = 10 * 3.14r2
Multiply 10 * 3.14
100 = 31.4r2
Solving
100 = 31.4r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-31.4r2' to each side of the equation.
100 + -31.4r2 = 31.4r2 + -31.4r2
Combine like terms: 31.4r2 + -31.4r2 = 0.0
100 + -31.4r2 = 0.0
Add '-100' to each side of the equation.
100 + -100 + -31.4r2 = 0.0 + -100
Combine like terms: 100 + -100 = 0
0 + -31.4r2 = 0.0 + -100
-31.4r2 = 0.0 + -100
Combine like terms: 0.0 + -100 = -100
-31.4r2 = -100
Divide each side by '-31.4'.
r2 = 3.184713376
Simplifying
r2 = 3.184713376
Take the square root of each side:
r = {-1.784576526, 1.784576526}
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