Answer:
x² + (y -5)² = 25
Explanation:
You want the equation of the circle whose diameter runs from the origin to y=10 on the y-axis.
Circle equation
The standard-form equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Application
Your circle has its center at (0, 5) and a radius of 5. (The center is the midpoint of the diameter. The radius is half the length of the diameter.) Using these values in the above form, we find the equation to be ...
(x -0)² +(y -5)² = 5²
x² +(y -5)² = 25 . . . . equation of the circle
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