Question

The center of a circle is at (-5, 1) and it has a radius of 9. What is the equation of the circle?

Answer 1

`(x - -5)^2 + (y - 1)^2 = 9^2`

Explanation:

The standard form for the equation of a circle is:

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

where `r` is the radius and `(h, k)` is the center point.

Substituting in the given values:

`(x - -5)^2 + (y - 1)^2 = 9^2`

You can write - -5 as + 5 but I do not recommend it.