The circle with the center C (4; -8) passes through the point G (3; 1), draw up the equation of the circle.

(x – a) ^ 2 + (y – b) ^ 2 = R ^ 2 – general form of the equation of the circle.

R ^ 2 = CG ^ 2 = (3 – 4) ^ 2 + (1 – (- 8)) ^ 2 = 1 + 81 = 82

(x – 4) ^ 2 + (y +8) ^ 2 = 82 – the required equation of the circle.



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