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If the circumference of a circle and the perimeter of a square are equal, then
  • a)
    area of the circle < area of the square
  • b)
    area of the circle = area of the square
  • c)
    area of the circle > area of the square
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the circumference of a circle and the perimeter of a square are equ...
Let the radius of the circle be r and side of the square be a.
Then, according to question,
2πr = 4a

Now, ratio of their areas,

Therefore, Area of the circle > Area of the square 
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If the circumference of a circle and the perimeter of a square are equal, thena)area of the circle < area of the squareb)area of the circle = area of the squarec)area of the circle > area of the squared)none of theseCorrect answer is option 'C'. Can you explain this answer?
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