# What is the equation of the circle with a center at #(2 ,1 )# and a radius of #3 #?

##### 1 Answer

Jan 26, 2016

#### Explanation:

The standard form of a circle with a center at

#(x-h)^2+(y-k)^2=r^2#

Since the center is

#{(h=2),(k=1),(r=3):}#

Thus, the equation of the circle is

#(x-2)^2+(y-1)^2=3^2#

This simplifies to be

#(x-2)^2+(y-1)^2=9#