tp is a tangent to the circle with centre o if angle toq=120degree,find the diameter if the circle when ot=10cm - Maths - Circles

Question

tp is a tangent to the circle with centre o if angle
toq=120degree,find the diameter if the circle when ot=10cm

Anuradha Sharma · Accepted Answer

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∠TOQ=120and we know that if two tangents are drawn to the circle from an external point then they subtend equal angle at the center

So ∠TOP=60 degreeNow in right angle triangle PTO, cos60=OTPOOT=POcos60=10×12=5So radius of circle=5 cmHence diameter=10 cm

tp is a tangent to the circle with centre o.if angle toq=120degree,find the diameter if the circle when ot=10cm