# How do you find the center of the circle whose equation is (x + 1)² + (y + 2)² = 49?

Feb 17, 2016

centre = (-1 , -2 ) and r = 7

#### Explanation:

The standard form of the equation of a circle is

${\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2} \text{ (a , b) is centre and r , the radius}$

${\left(x + 1\right)}^{2} + {\left(y + 2\right)}^{2} = 49 \text{ is in this form }$

by comparison : a= -1 , b=-2 and r = 7

hence centre = (-1 , -2 ) and r = 7