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Omni-MATH / Chords AB and CD of a circle are perpendicular and intersect at a point P. If AP=6,BP=12, and CD=22, find the area of the circle.

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problem

Chords ABA B and CDC D of a circle are perpendicular and intersect at a point PP. If AP=6,BP=12A P=6, B P=12, and CD=22C D=22, find the area of the circle.
Plain-text mathematical notation (without MathML)
Chords AB and CD of a circle are perpendicular and intersect at a point P. If AP=6,BP=12, and CD=22, find the area of the circle.
Original LaTeX notation
Chords $A B$ and $C D$ of a circle are perpendicular and intersect at a point $P$. If $A P=6, B P=12$, and $C D=22$, find the area of the circle.

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