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There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

Re: There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

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02 Aug 2017, 01:29

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MathRevolution wrote:

Attachment:

8.2.png

There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

Re: There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

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02 Aug 2017, 02:08

MathRevolution wrote:

Attachment:

8.2.png

There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

There are 2 circles, 1 big circle and 1 small circle, and they meet at [#permalink]

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02 Aug 2017, 02:14

MathRevolution wrote:

Attachment:

8.2.png

There are 2 circles, 1 big circle and 1 small circle, and they meet at one point. The diameter of the small circle is equal to the radius of the big circle, and the area of the big circle is \(14π\). What is the area of the small circle?

The ratio of areas of two circles is the same as the ratio of the squares of their respective Radii / Diameters. Hence the correct answer should be 1/4 of the area of the bigger circle.