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radhika1306
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 Posted: Tue Sep 04, 2007 11:53 am Post subject: set 24 Q 11 |
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An equilateral triangle that has an area of 9 3^1/2 is inscribed in a circle. What is the
area of the circle?
A . 6pi B. 9pi C. 12 pi D. 9pi 3^1/2 E. 18pi 3^1/2 |
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ri2007
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| Posted: Tue Sep 04, 2007 2:29 pm Post subject: Re: set 24 Q 11 |
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| radhika1306 wrote: | An equilateral triangle that has an area of 9 3^1/2 is inscribed in a circle. What is the
area of the circle?
A . 6pi B. 9pi C. 12 pi D. 9pi 3^1/2 E. 18pi 3^1/2 |
For this question first find the measure of the side -
Area = 1/2 b*h
For an equilateral triangle h = b * root 3 by 2
so 1/2 * b * b * 3^1/2 * 1/2 = 9 3^1/2
so b^2 = 9*4
so b =6
radius of circle with the equilateral triangle inscribed in it is side/ 3^1/2
so area of circle = pie r^2 =12 pi
Ans is C |
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