There are two circles intersecting each other. Another smaller circle with centre O is lying between the common regions of two larger circles. Centres of the circle (i.e., A, O and B) are lying on a straight line. If AB = 16 cm and the radii of the larger circles are 10 cm each, what is the area of the smaller circle?

• A. \[4\pi \text{ }c{{m}^{2}}\]
• B. \[2\pi \text{ }c{{m}^{2}}\]
• C. \[\frac{4}{\pi }\text{ }c{{m}^{2}}\]
• D. \[\frac{\pi }{4}\text{ }c{{m}^{2}}\]