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The circumference of circle with the diameter

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The circumference of circle with the diameter [#permalink] New post   21 Oct 2022, 04:11
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Quantity A
Quantity B
The circumference of circle with diameter \(\sqrt{50}\)
The perimeter of a square with side \(\sqrt{50}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


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B
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Re: The circumference of circle with the diameter [#permalink] New post   25 Oct 2022, 01:08
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Quantity A: The circumference of circle with diameter \(\sqrt{50}\)

Circumference of a circle = πd (where d is the diameter) = π * \(\sqrt{50}\) = 3.14 * \(\sqrt{50}\)

Quantity B: The perimeter of a square with side \(\sqrt{50}\)

Perimeter of a square = 4*a ( where a is the side of the square) = 4*\(\sqrt{50}\)

Clearly, Quantity B (4*\(\sqrt{50}\)) > Quantity A (3.14 * \(\sqrt{50}\))

So, Answer will be B
Hope it helps!

Watch the following video to Learn Basics of Circles

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gmatclubot
Re: The circumference of circle with the diameter [#permalink]
25 Oct 2022, 01:08
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