Question

Determine the equation of the circle graphed below.
(help fast)

Answer 1

Your equation is
`(x - (5))^2 + (y - (6))^2 = (√(13) )^2`

Explanation:

Well, the center origin of the circle is given (h,k) = (5,6).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (5,6) and (x,y) = (7,9) to solve for radius.

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

(7 - (5))^2 + (9 - (6))^2 = r^2

(2)^2 + (3)^2 = r^2

4 + 9 = r^2

r^2 = 13

r = sqrt(13)