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The area of a circle whose circumference is 8pix
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06 Nov 2019, 09:24
06 Nov 2019, 09:24
Expert Reply
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Question Stats:
86% (00:32) correct
13% (00:33) wrong based on 44 sessions
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\(x>0\)
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The area of a circle whose circumference is \(8\pi x\) |
The area of a circle with radius 4x |
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.
Kudos for the right answer and explanation
Re: The area of a circle whose circumference is 8pix
[#permalink]
06 Nov 2019, 09:36
06 Nov 2019, 09:36
1
Quantity A:
8πx=2πr
4x=r
Area of a circle is πr^2, so we substitute 4x with r
we get 16x^2π
Quantity B
Radius is given as 4x
Area of a circle is πr^2, so we substitute 4x with r
we get 16x^2π
Both expressions are equal for all values of x>0
8πx=2πr
4x=r
Area of a circle is πr^2, so we substitute 4x with r
we get 16x^2π
Quantity B
Radius is given as 4x
Area of a circle is πr^2, so we substitute 4x with r
we get 16x^2π
Both expressions are equal for all values of x>0
gmatclubot
Re: The area of a circle whose circumference is 8pix [#permalink]
06 Nov 2019, 09:36
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