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

Question

Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x 2 + y 2 = 32 is

Philoid · Accepted Answer

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

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