A and B are circles of unit radius. Their centres are marked by ×. The area of the shaded region is (hint: area of an equilateral triangle of unit side length is )

Correct option is A

Given  :
 The two circles have Radius r=1.
Distance between centers =1 (which is the same as the radius)
Formula Used: 
2$$R^2$$$$\left( \frac{\pi}{3} - \frac{\sqrt{3}}{4} \right)$$​​​
Solution : 
The total shaded area is the segment area:
Total Area = $$2 \times 1^{2} \left( \frac{\pi}{3} - \frac{\sqrt{3}}{4} \right) = \frac{2\pi}{3} - \frac{\sqrt{3}}{2}$$
Thus the correct answer is option (A) $$\frac{2\pi}{3} - \frac{\sqrt{3}}{2}$$​
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