If the endpoints of the diameter of a circle are (10, 12) and (0, 2), what is the standard form equation of the circle?

The center would be (5, 7), and the radius would be √(12-7)²+(10-5)² = 5√2.
Standard form is (x-h)²+(y-k)²=r², where (h, k) are the coordinates for the center of the circle, and r is the radius.
So we get (x-5)²+(y-7)²=50.
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Hope this helps!