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The circles above both have center O. If the area of the larger circle

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The circles above both have center O. If the area of the larger circle [#permalink]

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New post 23 Nov 2017, 23:31
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The circles above both have center O. If the area of the larger circle is 100π and the area of the smaller circle is 64π, then x is equal to

(A) 2
(B) 3
(C) 4
(D) 6
(E) 18

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2017-11-23_2026_003.png
2017-11-23_2026_003.png [ 6.76 KiB | Viewed 456 times ]

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Re: The circles above both have center O. If the area of the larger circle [#permalink]

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New post 24 Nov 2017, 00:39
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Area of larger circle = 100π. So, its radius is 10 units.
Area of smaller circle = 64π. So, its radius is 8 units.

The two circles are concentric - have the same center. So, x is the difference between the two radii = 2 units.
Choice A
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Re: The circles above both have center O. If the area of the larger circle [#permalink]

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New post 24 Nov 2017, 00:39
In the Question, provided that

1. Area of Larger circle is 100π
(π)r^2 = 100π, that gives r = 10

2.Area of smaller circle is 64π
(π)r^2 = 64π, that gives r = 8

The X is the difference in area between smaller circle to larger circle
so X =radius of larger circle - radius of smaller circle = 10-8 = 2

Answer option is A
Re: The circles above both have center O. If the area of the larger circle   [#permalink] 24 Nov 2017, 00:39
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