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40=3.1416r^2
We move all terms to the left:
40-(3.1416r^2)=0
We get rid of parentheses
-3.1416r^2+40=0
a = -3.1416; b = 0; c = +40;
Δ = b2-4ac
Δ = 02-4·(-3.1416)·40
Δ = 502.656
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{502.656}}{2*-3.1416}=\frac{0-\sqrt{502.656}}{-6.2832} =-\frac{\sqrt{}}{-6.2832} $$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{502.656}}{2*-3.1416}=\frac{0+\sqrt{502.656}}{-6.2832} =\frac{\sqrt{}}{-6.2832} $
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