Question

How do you write an equation of the circle given the center at (-4, 1), radius 2?

Answer 1

`(x+4)^2+(y-1)^2=4`

Explanation:

The equation of a circle is given by

`(x-a)^2+(y-b)^2=r^2`

Where `a` and `b` are our coordinates, and `r` is our radius.

We know `a`, `b` and `r`, so we can plug those in. We get

`(x+4)^2+(y-1)^2=4`

Hope this helps!