Anita A. answered 08/25/18
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Community College Math Instr; TX Secondary Mathematics Certification
The standard form for the equation of a circle: (x - h)2 + (y - k)2 = r2
The three points will have the same distance - radius - from the center of the circle, (h, k)
The distance from (2, 3) to (h, k) will equal the distance from (3, 4) to (h, k) will equal the distance from (-1, 2) to (h, k).
Use the distance formula d = √((x - h)2 + (y - k)2) three times; once for each given point. The three distances will be equal if there are no algebra mistakes.
Then center is (-1, 7) and the radius length is found to be 5.
A2