# Equations of a Circle in standard form

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### Standard equation

$(1).\,\,\,$ $(x-a)^2+(y-b)^2$ $\,=\,$ $r^2$

$(2).\,\,\,$ $(x-h)^2+(y-k)^2$ $\,=\,$ $r^2$

Learn the equation of a circle in standard form and geometric proof in the two dimensional space.

### Centered at the Origin

$x^2+y^2$ $\,=\,$ $r^2$

Learn the standard equation of a circle centered at the origin of the two dimensional cartesian coordinate system with geometrical proof.

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