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Question

If the radius of a circle passing through all vertices of a rectangle is 4cm. Find the length of its diagonal.
  1. 8

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Solution

The correct option is A 8


Given a circle is passing through all the vertices of the rectangle ABCD.

Since, BAD=BCD=90,
BAD and BCD are semicircles as angle in a semi-circle is 90.

So, BD is the diameter of the circle which is also the diagonal of the rectange.

Diagonal, BD = 2 x (radius) = 2 x 4 = 8 cm


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