# What is the equation of a circle with center (-4, 7) and radius 6?

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7
Feb 4, 2016

The equation of the circle would be ${\left(x - \left(- 4\right)\right)}^{2} + {\left(y - 7\right)}^{2} = {6}^{2}$
or ${\left(x + 4\right)}^{2} + {\left(y - 7\right)}^{2} = 36$

#### Explanation:

The equations of the circle is
${\left(x - h\right)}^{2} + {\left(y - k\right)}^{2} = {r}^{2}$
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius.

h = -4
k = 7
r = 6

plug in the values
${\left(x - \left(- 4\right)\right)}^{2} + {\left(y - 7\right)}^{2} = {6}^{2}$
simplify
${\left(x + 4\right)}^{2} + {\left(y - 7\right)}^{2} = 36$

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