# What is the distance between two parallel tangents of a circle of radius 10cm?

O is the centre of circle and tangents from point A and B are parallel

We know that the line joining point of contacts of two parallel tangents (here AB) passes through the centre

And as a line from the centre is perpendicular to tangent, hence that line(AB) will be the distance between parallel tangents

AB passes through centre O hence AB is also the diameter of the circle

Hence the distance between the two parallel tangents will be the diameter of the circle

Hence diameter of circle = 2 × radius

Hence AB = 2 × 10

AB = 20 cm

Hence distance between parallel tangents is 20 cm

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