Question

What is the equation of a circle with center (-4, 7) and radius 6?

Answer 1

The equation of the circle would be `(x -(-4))^2 + (y- 7)^2 = 6^2`
or `(x +4)^2 + (y- 7)^2 = 36`

Explanation:

The equations of the circle is
`(x - h)^2 + (y- k)^2 = r^2`
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius.

(-4,7) radus is 6

h = -4
k = 7
r = 6

plug in the values
`(x -(-4))^2 + (y- 7)^2 = 6^2`
simplify
`(x + 4)^2 + (y- 7)^2 = 36`