# How do you write the standard from of the equation of the circle given center C ( 6, - 2 ), radius 2?

##### 2 Answers

Jul 23, 2018

#### Explanation:

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

#•color(white)(x)(x-a)^2+(y-b)^2=r^2#

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

#"the radius"#

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

#(x-6)^2+(y+2)^2=4larrcolor(blue)"equation of circle"#

Jul 23, 2018

#### Explanation:

Recall that the equation of a circle is given by

We know that we are centered at

We can plug these into our equation to get

Hope this helps!