Circle P is graphed in the coordinate plane with center (- 4, 7) Circle P contains the point (-1,9 9). What is an equation of circle P?

Given:

Center of the circle P = (-4,7)

Point on the circle = (-1,9).

To find:

The equation of the circle P.

Solution:

The standard form of a circle is:

                 ...(i)

Where, (h,k) is the center and r is the radius of the circle.

Center of the circle is at point (-4,7). So, .

The center passes through the point (-1,9). So, the distance between the point (-1,9) and the center (-4,7) is the radius.

Distance formula:

Using the distance formula, we get

Substituting and in (i), we get

Therefore, the equation of the circle P is .