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Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

 Nov 25, 2023
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To find the coordinates of the center of the circle, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (a,b) and (c,d) is the point (2a+c​,2b+d​).

Using the midpoint formula, we can find the midpoints of the following line segments:

The midpoint of the line segment connecting (22,15) and (−25,0) is (222+(−25)​,215+0​)=(−1.5,7.5).

The midpoint of the line segment connecting$(-25,0)$ and (22,−29) is (2−25+22​,20+(−29)​)=(−1.5,−14.5).

The midpoint of the line segment connecting (22,−29) and (22,15) is (222+22​,2−29+15​)=(22,−7).

Since the three midpoints coincide, we can conclude that the center of the circle is the point (−1.5,−7)​.

 Nov 26, 2023

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