Question
Find the area of the region in the first quadrant enclosed by the x-axis, the line
and the circle x2 + y2 = 4.
Solution
The equation of circle is
...(1)
The equation of line is
...(2)
From (1) and (2), we get,
∴ point of intersection of circle (1) and line (2) is P .
From P, draw PM ⊥ x-axis.
Also OA = radius of circle = 2
∴ A is (2, 0)
Required area = Area OMAPO = Area of ∆OMP + area MAP
= A1 + A2 ..(1 )
where

and


