Just need help generating the equations to use. In a Cartesian coordinate system

Question

Just need help generating the equations to use.

In a Cartesian coordinate system the equation of a circle with its center at point (a, b) and radius r is: (x - a)2 + (y - b)2 = r2 Given three points, (8.7,3.2), (7.5,7.1), and (3.5,6.15), determine the equation of the circle that passes through the points. Solve the problem by deriving a system of three linear equations (substitute the points in the equation) and solve the System. Use the user-defined function GaussPivotLarge developed in Problem 4.27. Solve the system of equations using MATLAB's left division operation.

Explanation / Answer

three equations given by: (8.7-a)^2 + (3.2-b)^2 = r^2 (7.5-a)^2 + (7.1-b)^2 = r^2 (3.5-a)^2 + (6.15-b)^2 = r^2

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