Question

Find the area of the region enclosed between the two circle x2 + y2 = 1 and (x – 1)2 + y2 = 1.

Answer 1

Given circle are x2 + y2 = 1 …(i)

and (x – 1)2 + y2 = 1 …(ii)

Circle (i) has centre at (0,0) and radius 1 unit

Circle (ii) has centre at (1,0) and radius 1 unit

So, Required Area = Shaded Region = 2 · area OABO