# 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.

×