# What is the equation of the circle in graphing form? The center of a circle is at (-2, -7) and its radius is 36?

Apr 15, 2016

${\left(x + 2\right)}^{2} + {\left(y + 7\right)}^{2} = {36}^{2}$

#### Explanation:

I'm not to sure what is meant by 'graphing form' as you have the centre and radius required to draw the circle. The radius of 36 also seems large.

However , the standard form of the equation of a circle is :

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

where (a , b) are the coordinates of centre and r , the radius.

here a = -2 , b = -7 and r = 36

substituting these values into the standard equation to obtain.

${\left(x + 2\right)}^{2} + {\left(y + 7\right)}^{2} = {36}^{2}$