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Simplifying
4(10(3.14)) = 2(3.14(r2))
Multiply 10 * 3.14
4(31.4) = 2(3.14(r2))
Multiply 4 * 31.4
125.6 = 2(3.14(r2))
Remove parenthesis around (3.14r2)
125.6 = 2 * 3.14r2
Multiply 2 * 3.14
125.6 = 6.28r2
Solving
125.6 = 6.28r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-6.28r2' to each side of the equation.
125.6 + -6.28r2 = 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
125.6 + -6.28r2 = 0.00
Add '-125.6' to each side of the equation.
125.6 + -125.6 + -6.28r2 = 0.00 + -125.6
Combine like terms: 125.6 + -125.6 = 0.0
0.0 + -6.28r2 = 0.00 + -125.6
-6.28r2 = 0.00 + -125.6
Combine like terms: 0.00 + -125.6 = -125.6
-6.28r2 = -125.6
Divide each side by '-6.28'.
r2 = 20
Simplifying
r2 = 20
Take the square root of each side:
r = {-4.472135955, 4.472135955}
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