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Offline Centres

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

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$4 π {cm}^{2}$

$2 π {cm}^{2}$

$\frac{4}{π} {cm}^{2}$

$\frac{π}{4} {cm}^{2}$

answer is A.

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