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Find the equation of the circle through ...

Find the equation of the circle through the points (1, -6), (2, 1) and (5, 2), find the coordinates of its centre and the length of the radius.

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The correct Answer is:
centre = (-g, -f) = (5, -3) , radius `= sqrt(g^(2) + f^(2) - c) = sqrt(25 + 9 - 9) = sqrt(25) = 5` unit.
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