In the given figure, chords XY and PQ intersect each other at point L. Find the length of XY (in cm).

Chord PQ and XY intersect at point L 

PQ = 10 cm . 

QL = 5 cm 

LY = 3 cm 

Concept Used:  ​

In a circle if two chord PQ and XY intersect each other at a point L 

then, $$PL \times QL = XL \times YL$$​​

Therefore,  XY is 22 cm .