Circle And Chords

Geometry Level 4

Diagram above shows a circle of radius \(20\text{ cm} \), with two non-parallel chords \(AB=8\text{ cm}\) and \(CD = 12\text{ cm} \). When extended, these chords intersect outside the circle at point \(P \).

Find the distance \( PA \) correct up to 2 decimal places.

Note: Figure not drawn up to scale.

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