Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is

The smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is shown by shaded region.


We can see that


Area ACBA = Area (OACBO) - Area (ΔOAB)





= (π – 2) units

6