# Draw a pair of tangents inclined to each other at an angle of 60o to a circle of radius 3 cm.

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let PA &PB be two tangents angle b/t them is 60o ANGLE APB=60O

ANGLE APO=1/2APB

APO 30

IN TRIANGLE OAP WE HAVE

OAP=90

APO=30

OA=5cm

CONSIDER SIN 30

WE GET OP=10CM

MARK P10CM AWAY FROM CENTRE

AND NOW NORMAL CONSTRUCTION

Second step - join center and circle to make radius and make 90° angle there to make first tangent and extend it.

third step- through center make angle of 120° and extend the line where it will meet the circle make angle of 90° there.

forth step- extend it to the first tangent and where it meet is 60°