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      Question

      The length of the each side of an equilateral triangle

      is 21. The area of incircle, (cm 2 ) is
      A 115.5 cm² Correct Answer Incorrect Answer
      B 28.875 cm² Correct Answer Incorrect Answer
      C 205.33 cm² Correct Answer Incorrect Answer
      D 320.83 cm² Correct Answer Incorrect Answer

      Solution

      Area of incircle of a ∆ = πr 2   =π(a/(2√3)) 2 = π((21)/(2√3)) 2     =π × (21/2√3)2   =(22/7) × 441/12  = 115.5  cm2

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