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# Area of circle with radius [square_root]7[/square_root]

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Director
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Question Stats:

94% (00:28) correct 5% (00:17) wrong based on 17 sessions
 Quantity A Quantity B Area of circle with radius $$\sqrt{7}$$ Area of circle with diameter $$\sqrt{14}$$

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
[Reveal] Spoiler: OA
Director
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Re: Area of circle with radius [square_root]7[/square_root] [#permalink]  22 Jun 2018, 07:38
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amorphous wrote:
 Quantity A Quantity B Area of circle with radius $$\sqrt{7}$$ Area of circle with diameter $$\sqrt{14}$$

For statement 1,

We know area of the circle = π $$r^2$$

= π $$(\sqrt{7})^2$$

= 7π

In Statement 2,

We know area of the circle = π $$r^2$$

= π $$(\sqrt{14})/2)^2$$ (Since here diameter is given so we divide it by 2 to get the radius)

= $$\frac{14}{4}$$ π

= $$\frac{7}{2}$$ π, which is less than statement 1

Hence option A
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Director
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Re: Area of circle with radius [square_root]7[/square_root] [#permalink]  19 Jan 2019, 10:25

that gives area A> area B
Re: Area of circle with radius [square_root]7[/square_root]   [#permalink] 19 Jan 2019, 10:25
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