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Kaushik786
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Consider equilateral triangle T inscribed in circle C 14 Mar 2020, 07:53
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55% (hard)

Question Stats:

67% (02:19) correct 33% (04:17) wrong based on 6 sessions

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Consider equilateral triangle T inscribed in circle C, what is ratio of the areas of T and C? Consider Circle C inscribed in equilateral triangle T, what is ratio of the areas of T and C?

A. 3√3:π , 3√3:16π
B. 3√3:4π , 3√3:π
C. √3:π , 3√3:4π
D. √3:π , √3:16π

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Consider equilateral triangle T inscribed in circle C 14 Mar 2020, 08:04
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Consider equilateral triangle T inscribed in circle C, what is ratio of the areas of T and C? Consider Circle C inscribed in equilateral triangle T, what is ratio of the areas of T and C?

A. 3√3:π , 3√3:16π
B. 3√3:4π , 3√3:π
C. √3:π , 3√3:4π
D. √3:π , √3:16π

equilateral triangle T of side a inscribed in a circle C of radius r.

\(r = \frac{side}{\sqrt{3} }\)
area of T: area of C = \(\frac{\sqrt{3}*a^2}{4}: \pi * r^2\) = \(\frac{\sqrt{3}*a^2*3}{(4*\pi*a^2)}\) = \(\frac{3*\sqrt{3}}{4*\pi}\)
Ans: B

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