The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm² . What is the circumference of the circle ?

Solution (By Examveda Team)

Area of square = 3136 cm²
Side of squared = $$\sqrt {3136} $$   = 56 cm
Perimeter of square :
= 4a
= (4 × 56) cm
= 224 cm
= diameter of circle
∴ Circumference of circle :
$$\eqalign{ & = \pi d \cr & = \frac{{22}}{7} \times 224 \cr & = 704{\text{ cm}} \cr} $$