The circumference of a circle is equal to the side of a square whose area measures 407044 sq.cm. What is the area of the circle ?

Answer: Option B

Area of the square = 407044 cm²
Side of the square = $$\sqrt{407044}$$  cm = 638 cm
Circumference of circle = 638 cm
Let the radius of the circle be R cm
Then,
$$\begin{array}{rl}& 2\pi R=638\\ & \Rightarrow R=\frac{638\times 7}{2\times 22}\\ & \Rightarrow R=101.5cm\end{array}$$
∴ Area of the circle :
$$\begin{array}{rl}& =\left(\frac{22}{7}\times 101.5\times 101.5\right)c{m}^2\\ & =32378.5c{m}^2\end{array}$$