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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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Q: The endpoints of a diameter are given Identify an equation of the circle?
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