Q. 24.0( 2 Votes )

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

Answer :


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


Radius is given 10 cm


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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