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The perimeter of a square is P cm
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04 May 2020, 16:02
04 May 2020, 16:02
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Question Stats:
83% (02:59) correct
16% (04:18) wrong based on 6 sessions
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The perimeter of a square is P cm and the area of the circle which is inscribed in it, is A cm. sq. If P=4A, then what is the length of the side of the square?
A. 4/π
B. 12/π
C. 14/ π
D. 16/π
E. 2π
Official Answer: A which is (4/π)
A. 4/π
B. 12/π
C. 14/ π
D. 16/π
E. 2π
Official Answer: A which is (4/π)
Re: Geometry
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04 May 2020, 21:16
04 May 2020, 21:16
2
Lets side of square be 'x' and radius of circle be 'r'.
So, 4x = P ....(1)
Also, the circle is inscribed in the square
=> x = 2r ....(2)
Area of circle, A = pi * r * r
=> A = pi * (x/2) * (x/2) (from 2)
=> 4A = pi * (x^2) .... (3)
It is given that
P = 4A
=> 4x = pi * (x^2) (from 1 and 3)
=> x = 4 / pi
So, the answer is A
So, 4x = P ....(1)
Also, the circle is inscribed in the square
=> x = 2r ....(2)
Area of circle, A = pi * r * r
=> A = pi * (x/2) * (x/2) (from 2)
=> 4A = pi * (x^2) .... (3)
It is given that
P = 4A
=> 4x = pi * (x^2) (from 1 and 3)
=> x = 4 / pi
So, the answer is A
Re: The perimeter of a square is P cm
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18 Jan 2024, 08:42
18 Jan 2024, 08:42
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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