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A circle has a radius of r = 4 in.
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27 Aug 2022, 03:49
27 Aug 2022, 03:49
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A circle has a radius of r = 4 in.
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
Quantity A |
Quantity B |
the area of a square that would fit inside of the circle |
the area of the circle |
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
Part of the project: GRE Quantitative Comparison GEOMETRY+Tricky Questions - Special Summer Edition (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: A circle has a radius of r = 4 in.
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27 Aug 2022, 04:52
27 Aug 2022, 04:52
1
The diagonal of the square inscribed inside the circle will be equal to the diameter of the circle which is 8. So each side of the square is 8/(2^(1/2)). Hence the area of the square comes out to be the square of the side. In this case, 32 square units.Meanwhile area of circle will be (pi)r^2 or 3.14*16 which is a value greater than 48.
Hence, option B > option A.
Hence, option B > option A.
gmatclubot
Re: A circle has a radius of r = 4 in. [#permalink]
27 Aug 2022, 04:52
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