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Circle - Equation

The equation for a circle

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Circle - equation

Unit Circle

The equation of a unit circle - where the center of the circle is located in the origo of the coordinate system and the radius = 1 - can be expressed as

x2 + y2 = 1                                (1)

Standard Form

The standard form for the equation of a circle can be expressed as

(x - a)2 + (y - b)2 = r2                            (2)


a = x coordinate position of the circle center

b = y coordinate position of the circle center

r = circle radius

General Form

The general form for the equation of a circle can be expressed as

x2 + y2 + A x + B y + C = 0                                  (3)


A, B, C = constants

Radius of circle

r = (a2 + b2 - C) 1/2                                       (4)

Coordinates in the Circle Centre

a = - A / 2                                   (5a)

b = - B / 2                                   (5b)

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