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Multiple choice

A circle of radius a is divided into 6 equal sectors. An equilateral triangle is drawn on the chord of each sector to lie outside the circle. Area of the resulting figure is :

  1. $\dfrac { 3\sqrt { 3 } \pi { a }^{ 2 } }{ 2 } $
  2. $\dfrac { 3\sqrt { 3 } { a }^{ 2 } }{ 2 } $
  3. $3\pi { a }^{ 2 }$
  4. $3\sqrt { 3 } { a }^{ 2 }$
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  • Geometry (1950 questions)
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