Question
Find the area of the region in the first quadrant enclosed by the x-axis, the line y = x, and the circle x2 + y2 = 32.
Solution
The equation of circle is
...(1)
The equation of line is
y = x ...(2)
From (1) and (2), we get
circle (1) and line (2) meet in P(4, 4)
Radius OA of circle = 
Required area = Area OAP
= Area of 
+ area MAP
...(1)
where 
