If an equilateral triangle is inscr...
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If an equilateral triangle is inscribed in a circle of radius R as shown in the figure, then the area of the shaded region in square units, is! (A) (47–313)R (B) (4x+3/3) (c) (29-313)R (D) (41 -3/3)R

JEE/Engineering Exams
Maths
Solution
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area of shaded ( =pi R^{2}-frac{sqrt{3} cdot a^{2}}{4} cdot ) ( cos 120^{circ}=frac{R^{2}+R^{2}-a^{2}}{2 R^{2}}=frac{-1}{2} ) ( 2 R^{2}-a^{2}=-R^{2} ) ( =1 quad a^{2}=3 R^{2} ) ( therefore ) avea nuaded ( =pi R^{2}-frac{3 sqrt{3} R^{2}}{4} ) ( =(4 pi-3 sqrt{3}) R^{2} ) ofive rating A) Ans. refardo iltiom
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