Question
Find the area of the region enclosed between the two circles x2 + y2 = 1 and 
Solution
The equations of two circles are
x2 + y2 = 1 ...(1)
and
...(2)
Centre of circle (1) is O(0, 0) and radius OA = 1
Centre of circle (2) is
and radius CB = 1
Subtraction (1) from (2), we get,
Putting
in (1), we get,
points of intersection of circles (1) and (2) are 
and 
Required area = Area of region APCQA
= 2[area of region APCA] = [area of region CMPC + area of region MAPM]
x2 + y2 = 1 ...(1)
and
...(2)Centre of circle (1) is O(0, 0) and radius OA = 1
Centre of circle (2) is
and radius CB = 1Subtraction (1) from (2), we get,
Putting
in (1), we get, points of intersection of circles (1) and (2) are and Required area = Area of region APCQA
= 2[area of region APCA] = [area of region CMPC + area of region MAPM]
