Question

Identify the center and radius of the circle (x-7)^2+(y-11)^2=36

Answer 1

Centre is
`(7,11)`

Radius is
`6`

Explanation:

The general equation for a circle is written in the form
`(x-a)^2+(y-b)^2=r^2` , where
`(a,b)` is the centre of the circle, and
`r` is the radius.

For your circle,
`(x-7)^2+(y-11)=36`, we can compare it with the general equation to find the centre and radius.

`-a = -7`

`-b = -11`

`r^2 = 36`

Therefore,
`a=7`,
`b=11` and
`r=6`.

Centre at
`(a,b)` which is
`(7,11)` .