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Simplifying
706.5 = 4 * 3.14r * r
Multiply 4 * 3.14
706.5 = 12.56r * r
Multiply r * r
706.5 = 12.56r2
Solving
706.5 = 12.56r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-12.56r2' to each side of the equation.
706.5 + -12.56r2 = 12.56r2 + -12.56r2
Combine like terms: 12.56r2 + -12.56r2 = 0.00
706.5 + -12.56r2 = 0.00
Add '-706.5' to each side of the equation.
706.5 + -706.5 + -12.56r2 = 0.00 + -706.5
Combine like terms: 706.5 + -706.5 = 0.0
0.0 + -12.56r2 = 0.00 + -706.5
-12.56r2 = 0.00 + -706.5
Combine like terms: 0.00 + -706.5 = -706.5
-12.56r2 = -706.5
Divide each side by '-12.56'.
r2 = 56.25
Simplifying
r2 = 56.25
Take the square root of each side:
r = {-7.5, 7.5}
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