Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32 is
Given;
The x-axis, the line y = x and the circle x2 + y2 = 32.
By substitution;
⇒ x2 + x2 = 32
∴ x = 4
Radius of the circle 
Required area
= (8 + 8π − 8 − 4π)
= 4π sq.units
27