Final answer:
The question seeks the mathematical method to find the equation of a circle that passes through three given points, which involves setting up equations based on the general circle equation and solving for the center and radius.
The correct option is C.
Step-by-step explanation:
The question you've asked pertains to the mathematics topic of geometry, specifically to calculate the equation of a circle that passes through three given points. While the multiple-choice options provided (A) ThreePointCircle(), (B) CircumferenceThroughPoints(),
(C) CalculateCircle3Points(), and (D) PassesThroughPointsCircle() appear to be names of potential functions or methods in a programming context rather than mathematical operations,
the actual mathematical process would involve using the coordinates of the three points and applying them to the general equation of a circle.
This is done to find the center and radius of the circle that uniquely passes through these three points.
To do this mathematically, one would set up simultaneous equations based on the general circle equation (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
The correct option is C.