The area of a square and circle is same and the perimeter of square and equilateral triangle is same, then the ratio between the area of circle and the area of equilateral triangle is
  • a)
    π : 3 
  • b)
    9 : 4√3
  • c)
    4 : 9√3
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

SSC Question

By ATULYA SINGH · Aug 16, 2020 ·SSC
2 Answers
SHIVANI TOMAR answered Oct 09, 2019
From the given data
Let the each side of a square be a, then its area will be a2
∴ area of circle will also be a2
Also given that the perimeter of square and equilateral triangle is same,
⇒ 4a = 3s
the each side of equilateral triangle is 4a/3
∴ area of equilateral triangle = √3/4 × (4a/3)2 = 4√3 a2/9
∴ ratio between the area of circle and the area of equilateral triangle = a2/(4√3 a2 × 9) = 9 : 4√3

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