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If the perimeter of square region S and the perimeter of circular regi
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28 Nov 2022, 09:42
28 Nov 2022, 09:42
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If the perimeter of square region S and the perimeter of circular region C are equal, then the ratio of the area of S to the area of C is closest to:
A. \(\frac {3}{2}\)
B. \(\frac {4}{3}\)
C. \(\frac {3}{4}\)
D. \(\frac {2}{3}\)
E. \(\frac {1}{2}\)
A. \(\frac {3}{2}\)
B. \(\frac {4}{3}\)
C. \(\frac {3}{4}\)
D. \(\frac {2}{3}\)
E. \(\frac {1}{2}\)
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: If the perimeter of square region S and the perimeter of circular regi
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28 Nov 2022, 19:17
28 Nov 2022, 19:17
2
Circle perimeter/circumference = 2*Pi*Radius (or Pi*Diamter)
Square perimeter = 4 * Side length
if our hypothetical square and circle are equal in perimeter than the side of a square equals the diameter of the circle. Let's pretend S and D both equal 10
Square area = 10^2 = 100
Circle area = Pi * 5^2 = 78.5
***5 comes from the radius of the circle being half of the diameter, 10/2 = 5
The ratio is roughly 3/4 which is answer choice C
Square perimeter = 4 * Side length
if our hypothetical square and circle are equal in perimeter than the side of a square equals the diameter of the circle. Let's pretend S and D both equal 10
Square area = 10^2 = 100
Circle area = Pi * 5^2 = 78.5
***5 comes from the radius of the circle being half of the diameter, 10/2 = 5
The ratio is roughly 3/4 which is answer choice C
gmatclubot
Re: If the perimeter of square region S and the perimeter of circular regi [#permalink]
28 Nov 2022, 19:17
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