A circle is the set of all points in a plane which are at a constant distance from a fixed point in the plane. The fixed point is called the centre and the constant distance is called the radius of the circle.
Equation of the circle in standard form
The equation of the circle with centre (h, k) and the radius r is given by
(x – h)2 + (y – k)2 = r 2
Equation of the circle when the end points of diameter are given
The equation of a circle described on the line joining A(x1, y1) and B(x2, y2) as a diameter is (x – x1)(x – x2) + (y – y1)(y – y2) = 0
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