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
Area of circle
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Refer this link : https://www.beatthegmat.com/equilateral- ... 20144.html
If you can search the forum you will get many of these probs' solution.
Amit
If you can search the forum you will get many of these probs' solution.
Amit
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Sorry that was a typo....my answer is D.
let the side of the triangle be t
area of the triangle would be - 1/2 * t * (square root 3) / 2 * t = 9 3 ^ 1/2.
the side would also be the diameter of the circle. using this u can find the area of the circle.
let the side of the triangle be t
area of the triangle would be - 1/2 * t * (square root 3) / 2 * t = 9 3 ^ 1/2.
the side would also be the diameter of the circle. using this u can find the area of the circle.
vishubn wrote:C is the OA
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Side of an equilateral triangle can never be the diameter of the circle. draw a circle with a triangle inscribed in it. Refer to the link listed above by "amitansu". It literally shows you how C is the answer.mehravikas wrote: the side would also be the diameter of the circle. using this u can find the area of the circle.
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I was right upto calculating the height of the triangle. But wasnt aware of this - Finally , R (Circum radius)=2/3 * Height
Is this formula only applicable when the triangle is equilateral??
Is this formula only applicable when the triangle is equilateral??
parallel_chase wrote:Side of an equilateral triangle can never be the diameter of the circle. draw a circle with a triangle inscribed in it. Refer to the link listed above by "amitansu". It literally shows you how C is the answer.mehravikas wrote: the side would also be the diameter of the circle. using this u can find the area of the circle.
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Well it depends upon the question, but rest assured that it is a standard formula for equilateral triangle.mehravikas wrote:I was right upto calculating the height of the triangle. But wasnt aware of this - Finally , R (Circum radius)=2/3 * Height
Is this formula only applicable when the triangle is equilateral??
No rest for the Wicked....