Question

If the perimeter of a square is same as the circumference of a circle, then which of the following is true?

• A. Area of Circle = Area of Square
  
  
• B. Area of Circle > Area of Square
• C. Area of Circle < Area of Square
• D. None of these

Answer 1

The correct option is B

Area of Circle > Area of Square

The perimeter of a square is equal to the circumference of a circle

Or, $\pi \times 2r=4\times side$

Or, $r=\frac{2\times side}{\pi }$

Or, Area of circle $=\pi r^2=4\frac{sid{e}^2}{\pi }$

Or, Area of square $=sid{e}^2$

Hence, Area of Circle > Area of Square