Question

if the angle between two tangents drown from an external point P to a circle of radius r and centre O is 60 , then length of O is ​

Answer 1

Sorry bhai for no diagram but i hope you draw because its important, i will just give explanation

just draw a circle with radius r and and centre o

ap and bp are tangents to them from ext. point p and angle apb = 60

we need to find op.

so join op and also join oa (which is radius = r), to get triangle oap.

therefore op bisects apb and angle apo = bpo = 30 degree.

we know tangent perpendicular to radius

so angle oap = 90

so we can find the measure of op using trigonometry

sin 30 = oa/op

1/2 = oa/op

1/2 = r/op

and hence we get, OP = 2r

hope it helps, if it does, pls mark as brainliest :))