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A circle with radius r is inscribed in a square. r is greater than or

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A circle with radius r is inscribed in a square. r is greater than or [#permalink] New post   07 Feb 2022, 06:45
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A circle with radius r is inscribed in a square. r is greater than or equal to 1.

Quantity A
Quantity B
The area of the portion of square not in the circle, in square units
r




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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A circle with radius r is inscribed in a square. r is greater than or [#permalink] New post   11 Feb 2022, 05:43
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First, for an inscribed circle, in a square, with radius r, the diameter = side of the square.
The area not in the circle =(2r)^2 - πr^2 = 4r^2- πr^2 = r^2 (4- π)
Now, r ≥ 1; if r =1, then quantity B is greater; and, if r = 2, then quantity A is greater; thus, the answer is D.
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A circle with radius r is inscribed in a square. r is greater than or [#permalink]
11 Feb 2022, 05:43
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