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First, find the coordinates of the diameter midpoint. For example, the endpoints of a diameter have coordinates of (x1, y1) = (1, 2) and (x2, y2) = (7, 6). By the midpoint formula we have:

(xm, ym) = [(x2 - x1)/2, (y2 - y1)/2] = [(7 - 1)/2, (6 - 2)/2] = (3, 2)

Since (x1, y1) it is the closest point to the origin, the coordinates of the center of the circle are:

(xc, yc) = (xm + x1, ym + y1) = (3 + 1, 2 + 2) = (4, 4).

Q: How do you find the center of the circle given the endpoints of the diameter in coordinate geometry?

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The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.

It is the diameter.

It is the diameter of the circle.

It is the diameter of the circle.

This is called "diameter"

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The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.

the answer is the diameter

That's a "diameter" of the circle.

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Diameter.

It is the diameter of the circle.