Question

What is the distance between two parallel tangents of a circle of radius 7cm
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Answer 1

Explanation:

O is the center 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 center

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

AB passes through center 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 7cm  

Hence diameter of circle = 2× radius  

Hence AB = 2×7  

⇒ AB = 14cm  

Hence distance between parallel tangents is 14cm

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Answer 2

Answer:

Therefore, two tangents to any given circle are parallel to one another only if they touch the circle at diametrically opposite points. Thus, in this case, distance between two parallel tangents to the circle must be (2 * 7) cm = 14 cm.