Two circles, both of radii 1 cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq. cm.) of the intersecting region?
1
\(\frac{\pi}{3}−\frac{\sqrt{3}}{4}\)
2
\(\frac{2 \pi}{3}+\frac{\sqrt{3}}{2}\)
3
\(\frac{2 \pi}{3}−\frac{\sqrt{3}}{2}\)
4
\(\frac{4 \pi}{3}+\frac{\sqrt{3}}{2}\)