# How do you find the equation of the circle given center at (7, 0) and a radius of 10?

##### 1 Answer

Jul 19, 2016

#### Explanation:

The standard form of the equation of a circle 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) are the coordinates of the centre and r, the radius.here centre = (7 ,0) hence a = 7 , b = 0 and r = 10.

Substitute these values into the standard equation.

#(x-7)^2+(y-0)^2=10^2#

#rArr(x-7)^2+y^2=100" is the equation of the circle"#