Answer:
x² +(y -4)² = 40
Explanation:
You want the equation of the circle centered at (0, 4) through point (6, 6).
Equation
The standard form equation of a circle centered at (h, k) through points (x, y) is ...
(x -h)² +(y -k)² = r²
where r is the radius of the circle.
We can find the value of r² using the given center and point. For (x, y) = (6, 6) and (h, k) = (0, 4), we have ...
(6 -0)² +(6 -4)² = r² = 36 +4 = 40j
Then for (h, k) = (0, 4) and r² = 40, we have the equation of the circle as ...
x² +(y -4)² = 40