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The circle above with center O has a radius of 5

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The circle above with center O has a radius of 5 [#permalink] New post   29 Dec 2020, 06:12
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The circle above with center O has a radius of 5


Quantity A
Quantity B
\(y\)
\(\sqrt{20}\)




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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Re: The circle above with center O has a radius of 5 [#permalink] New post   29 Dec 2020, 20:06
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Qt A

radius is given 5.

y can be calculated with the distance of (2,y) from the origin (0,0)

Distance is 5 as it will be radius.

5 = \(\sqrt{(2^2-0)+ y^2}\)

25 = 4 + y^2

Y = \(\sqrt{21}\)

Qt A > Qt B

Answer A
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Re: The circle above with center O has a radius of 5 [#permalink] New post   30 Dec 2020, 07:47
1
Quantity A is (5^2-2^2)^(1/2) => 21*(1/2)
Quantity B is 20^(1/2)

Hence A.
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Re: The circle above with center O has a radius of 5 [#permalink]
30 Dec 2020, 07:47
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