Find the area of the region in the coordinate plane that satisfies both the inequalities x^2 + y^2<=4 and x<=lyl

2 answers

since y = |x| subtends an angle of 90° at the center of the circle, the area in question is 1/4 of a circle of radius r = 2
so, that would be 1/4 (4π) = π
oops. Not so.
It is everything inside the circle but outside the V, or 3π