# What is a equation that has a center at (-5,2) with a radius of 6?

##### 2 Answers

The given point (center of the circle) is

Let the unknown point on the circumference of the circle be

The radius of the circle is given by

(its just basically the distance formula)

And therefore, the general equation of a circle having a center

So, in this case, since the center is

#### Explanation:

#"the standard form of the equation of a circle is"#

#color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))#

#"where "(a,b)" are the coordinates of the centre and r is"#

#"the radius"#

#"here "(a,b)=(-5,2)" and " r=6#

#(x-(-5))^2+(y-2)^2=6^2#

#rArr(x+5)^2+(y-2)^2=36larrcolor(red)"equation of circle"#