# A circle is centered at (2, -5) and has radius 3. How do you write its equation in standard form?

##### 1 Answer

Jan 20, 2016

#### Answer:

# (x - 2 )^2 + ( y + 5 )^2 = 9 #

#### Explanation:

The standard form of the equation of a circle is :

# (x - a )^2 + (y - b )^2 = r^2 # where (a , b ) are the coordinates of the centre and r = radius .

in this question (a , b ) = (2 , -5 ) and r =3

( substituting these values into the standard form equation )

#rArr (x - 2 )^2 + (y + 5 )^2 = 9 #