Category:Power of a Point Theorem

This category contains pages concerning Power of a Point Theorem:

Let $C$ be a circle in the Euclidean plane whose center is $O$ and whose radius is $r$.

Let $P$ be an arbitrary point in the plane.

Let $p$ be the power of point $P$ with respect to $C$.

Let a directed line segment from $P$ be drawn either:

intersecting $C$ at two points $A$ and $A'$

or:

tangent to $C$ at $A = A'$.

Then:

$PA \cdot PA' = p$