Question

Find the area of the region in the first quadrant enclosed by x-axis, the line x = √3y and the circle x² + y² = 4.

Answer 1

Obviously x² + y² = 4 is a circle having centre at (0, 0) and radius 2 units.

For intersecting point of given circle and line putting x = √3y in x² + y² = 4, we get