Two identical circles each of radius 30 cm intersect each other such that the circumference of each one passes through the centre of the other. What is the area of the intersecting region?

A

$$400 \pi - 250 \sqrt{3} cm^{2}$$

B

$$300 \pi - 150 \sqrt{3} cm^{2}$$

C

$$500 \pi - 350 \sqrt{3} cm^{2}$$

D

$$600 \pi - 450 \sqrt{3} cm^{2}$$