Question

PLEASE HELP! I'm on a timer!

Find the equation of the circle whose center and radius are given.

center ( -2, -5), radius = 1

Answer 1

The equation of a circle uses the following formula:


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

The center of the circle is given by (h,k). Therefore, h = -2, and k = -5. r = 1, so we can find the equation from the information given to us.

Plug in your values.


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


`1^(2) = 1`

The equation of this circle is as follows:


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