Question

Helpppp plzzzz its geometry ​

Answer 1

`(x+6)^2+(y-4)^2=36`

Explanation:

Equation of a Circle:

A circle is defined as a shape where all the points on the circumference have the same distance r to a given point (h,k) called the center.

The equation of such a circle is given by

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

We are given the graph of a circle where we can clearly note the center is located in (-6,4). The radius is best obtained by looking at the center and the y-intercept at the point (0,4). The distance between them is the radius r=6

The equation of the circle is:

`(x+6)^2+(y-4)^2=6^2`

Or, equivalently

`\boxed{(x+6)^2+(y-4)^2=36}`