Q. 43.9( 41 Votes )

What is the distance between two parallel tangents of a circle having radius4.5 cm ? Justify your answer.

Answer :

Let BC and DE be the parallel tangents to a circle centered at A with point of contact O and H respectively. On joining OH, we find OH is the diameter of the circle. BOA = 90° = DHA {Using tangent-radius theorem which states that a tangent at any point of a circle is perpendicular to the radius at the point of contact.}

Distance between BC and DE = OH

OH is perpendicular to BC and DE.

OH = 2 × 4.5 cm = 9 cm

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