Question

Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is

A. 16π sq units
B. 4π sq units
C. 32π sq units
D. 24 sq units

Answer 1

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 = √32 = 4√2

Required area

= (8 + 8π − 8 − 4π)

= 4π sq.units