+1911 Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).
+743 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).
