Question

Write an equation of the circle with center (-5,2) and diameter 6.

Answer 1

`(x+5)^2+(y-2)^2=36`

Explanation:

The equation of a circle is
`(x-h)^2+(y-k)^2=r^2` where
`(h,k)` is the center and
`r` is the radius, thus:

`(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36`

This means that our equation for the given circle is
`(x+5)^2+(y-2)^2=36`