78.5=3.14(r2)

Solution for 78.5=3.14(r2) equation:

78.5=3.14(r2)

We move all terms to the left:

78.5-(3.14(r2))=0

We add all the numbers together, and all the variables

-(+3.14r^2)+78.5=0

We get rid of parentheses

-3.14r^2+78.5=0

a = -3.14; b = 0; c = +78.5;
Δ = b2-4ac
Δ = 02-4·(-3.14)·78.5
Δ = 985.96
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{985.96}}{2*-3.14}=\frac{0-\sqrt{985.96}}{-6.28}
=-\frac{\sqrt{}}{-6.28}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{985.96}}{2*-3.14}=\frac{0+\sqrt{985.96}}{-6.28}
=\frac{\sqrt{}}{-6.28}
$