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The area of a circle whose circumference is 8pix

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The area of a circle whose circumference is 8pix [#permalink] New post   06 Nov 2019, 09:24
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\(x>0\)


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.

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colinmavlon
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Re: The area of a circle whose circumference is 8pix [#permalink] New post   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
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Re: The area of a circle whose circumference is 8pix [#permalink]
06 Nov 2019, 09:36
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