# How do you find the center and radius of the circle #(x-4)^2 + (y)^2 = 25#?

##### 1 Answer

May 22, 2016

centre (4 ,0) , r = 5

#### Explanation:

The equation of a circle in standard form is.

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

where (a ,b) is the centre and r ,the radius.For

#(x-4)^2+y^2=25# by comparison with standard a = 4 , b = 0 and r = 5

#rArr"centre"=(4,0)" and radius"=5#