Question

How do you write an equation for a circle with center (-2, 4) and radius 7?

Answer 1

`(x-2)^2+(y+4)^2=49`

Explanation:

The general form of a circle is `(x-h)^2+(y-k)^2=r^2` where `(h,k)` is the centre and `r` is the radius

Since we know that the centre is `(-2,4)`, then `h=2` and `k=-4` and since the radius is `7`, then `r=7`

Equation of the circle is equal to:
`(x-2)^2+(y+4)^2=49`