1. Find the coordinates of the center of the circle. Call it point (a, b). To find this point, calculate the average of the x-coordinates of the endpoints, and also the average of the y-coordinates.
2. Find the radius of the circle. Use the formula for distance (which is based on Pythagoras' Theorem). Call the length of the radius "r".
3. The formula for the circle is (x - a)2 + (y - b)2 = r2. Replace the values you found earlier.
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It is a semicircular arc.
It is the diameter of the circle.
The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.
Semi-circle.
It is the diameter of the circle.