Equation of circle - Clavius

Coordinate Geometry

Equation of Circle

Form 1

$(x - a)^{2} + (y - b)^{2} = R^{2}$

Centre = $(a, b)$

Radius = $R$

Form 2

$x^{2} + y^{2} + A x + B y + C = 0$

Centre = $(- \frac{1}{2} A, - \frac{1}{2} B)$

Radius = $\sqrt{\frac{1}{4} A^{2} + \frac{1}{4} B^{2} - C}$

Tangent of Circle

Tangent of circle is perpendicular to radius.

Exercise

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