Question
Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is
Choose the correct answer.
or
Draw the rough sketch and find the area of the region:
{(x, y): x2 + y2 < 4, x + y > 2}.
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Solution
B.
The equation of circle is
...(1)
Its centre is O(0, 0) and radius OA = OB = 2
The equation of line is
x + y = 2 ....(2)
or 
line passes through A(2, 0), B(0, 2).
Required area = area of circle in first quadrant - area 
