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by grandh01 » Thu Jul 12, 2012 11:11 pm
Equilateral triangle ABC is inscribed in a circle. If the length of arc ABC is 24. What is the approximate diameter of the circle?

1)5
2)8
3)11
4)15
5)19

Thanks in advance
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by Anurag@Gurome » Thu Jul 12, 2012 11:23 pm
grandh01 wrote:Equilateral triangle ABC is inscribed in a circle. If the length of arc ABC is 24. What is the approximate diameter of the circle?
Image

Arc ABC covers 2/3 of the circumference of the circle.
Hence, circumference of the circle = 24*3/2 = 36

Therefore, diameter of the circle = Circumference/π = 36/π ≈ 36/3.14 = Slightly smaller than 36/3 ≈ 11

The correct answer is C.
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