120.7016=3.14*r^2

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Solution for 120.7016=3.14*r^2 equation:



120.7016=3.14r^2
We move all terms to the left:
120.7016-(3.14r^2)=0
We get rid of parentheses
-3.14r^2+120.7016=0
a = -3.14; b = 0; c = +120.7016;
Δ = b2-4ac
Δ = 02-4·(-3.14)·120.7016
Δ = 1516.012096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1516.012096}}{2*-3.14}=\frac{0-\sqrt{1516.012096}}{-6.28} =-\frac{\sqrt{}}{-6.28} $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1516.012096}}{2*-3.14}=\frac{0+\sqrt{1516.012096}}{-6.28} =\frac{\sqrt{}}{-6.28} $

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