powersta powersta
  • 02-10-2018
  • Mathematics
contestada

[tex] \pi x^{2} [/tex] = a

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PiaDeveau PiaDeveau
  • 11-10-2018

The formule is about area of a circle.

[tex]\pi x^{2} = a[/tex]

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

[tex]\frac{\pi x^2}\pi}=\frac{a}{\pi}[/tex]

[tex]x^2=\frac{a}{\pi}[/tex]

Taking square root on both sides, we get

[tex]\sqrt{x^2}=\sqrt{\frac{a}{\pi}}[/tex]

[tex]x=\sqrt{\frac{a}{\pi}}[/tex]


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