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Re: In the figure above, the diameter of the circle is 12. [#permalink]
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sorry I di not get your question ?
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Re: In the figure above, the diameter of the circle is 12. [#permalink]
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Midhilesh489 wrote:
Didn't understand how did you assume it as square


The rectangle of the largest area that can be inscribed inside a circle is a square. There are many proofs for this, some involving calculus, others not so esoteric.
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Re: In the figure above, the diameter of the circle is 12. [#permalink]
Midhilesh489 wrote:
Didn't understand how did you assume it as square


You can also think of a circle as constraining the perimeter of an inscribed rectangle and for a given perimeter, the square has the largest area.
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Re: In the figure above, the diameter of the circle is 12. [#permalink]
but why are we assuming that it is a square ?
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Re: In the figure above, the diameter of the circle is 12. [#permalink]
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raghav4202 wrote:
but why are we assuming that it is a square ?


Because if we can prove that the area of the square is greater than or less than Quantity B, we can be sure that the area of the rectangle PQRS will also be greater than or less than Quantity B.
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