Circle power
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Circlepower.png
Geometric description of the power of a circle
In geometry, circle power (or the power of a circle) is the power of a point with respect to a given circle. In more specific terms, the power of a point A for a circle of radius r and center O is defined as:
Circlepower.png
Geometric description of the power of a circle
- p ≡ AP × QA
where P and Q are the points forming a line with A and intersecting the circle. This can also be expressed as
- p = AO² − r²
Note that p is actually independent of the specific line APQ.
External links
- Eric W. Weisstein. "Circle Power." From MathWorld--A Wolfram Web Resource (http://mathworld.wolfram.com/CirclePower.html)de:Potenz (Geometrie)