1.

A chord of a circle of radius 6cm is making an angle of 60 degrees at the centre.Find the length of the chord.

Answer»

IN TRIANGLE AOB, AO=BO=6cmTHEREFORE,∠OAB=∠OBA=y(say)IN TRIANGLE AOB BY ANGLE SUM PROPERTY60°+y+y=180°⇒180°-60°=2y⇒120°=2y⇒y=60°THEREFORE AS∠A=∠B=∠C=60°THEREFORE TRIANGLE AOB IS AN EQUILATERAL TRIANGLE⇒LENGTH OF CHORD AB =6cm.



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