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# After a one-piece circular tablecloth of maximum possible area was cut

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After a one-piece circular tablecloth of maximum possible area was cut [#permalink]
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kartikeysharma wrote:
I'm sorry, but the solution is still not clear to me. How is the answer A and not C?

We only know that the figure is a rectangle.
We don’t know whether the rectangle is a square or not.

The circle we can draw within a rectangle will be limited by the shorter side (here the circle must stay within the boundaries of the rectangle)

Imagine a circle with diameter 4.

The MAX Area circle we could draw would be perfectly inscribed within a square with equal side lengths of 4.

Now imagine the square is stretched along its length.

We now have a rectangle with width = 4 and the length = 100

Again, the MAX circle we can draw within this rectangle will have a diameter of 4: the same circle as in the case of the square with side length 4.

The circle is a set of equidistant points from the center. Hence, no matter how we tried to draw the circle, we are limited by the shorter side of the rectangle.

Hope that helps a bit? 🙂

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Re: After a one-piece circular tablecloth of maximum possible area was cut [#permalink]
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Re: After a one-piece circular tablecloth of maximum possible area was cut [#permalink]
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