Question

What is the equation of the circle with a center at `(-1 ,-1 )` and a radius of `8`?

Answer 1

`color(blue)((x+1)^2+(y+1)^2=64)`

Explanation:

The general equation of a circle is given as:

`(x-h)^2+(y-k)^2=r^2`

Where `bbh` and `bbk` are the `bbx` and `bby` coordinates respectively of the centre, and `bbr` is the radius.

We have:

`h=-1`

`k=-1`

`r=8`

Plugging in these values

`(x-(-1))^2+(y-(-1))^2=(8)^2`

`=>(x+1)^2+(y+1)^2=64`