# What is the center and radius of the circle with equation #(x-2)^2 + (y-5)^2=100#?

##### 1 Answer

Jan 31, 2016

#### Answer:

centre = (2 , 5 ) and r = 10

#### Explanation:

The standard form of the equation of a circle is :

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

compare with :

# (x - 2 )^2 + (y - 5 )^2 = 100 # to obtain a = 2 , b = 5 and

# r = sqrt100 = 10 #