In the XY-plane, the area, in square units, of the region defined by the inequalities y ≥ x + 4 y \geq x + 4 y ≥ x + 4 and − 4 ≤ x 2 + y 2 + 4 ( x − y...

Question

In the XY-plane, the area, in square units, of the region defined by the inequalities

yx+4y \geq x + 4
and
4x2+y2+4(xy)0-4 \leq x^2 + y^2 + 4(x - y) \leq 0
is:

Options

A.

4π4\pi

B.

2π2\pi

C.

π\pi

D.

3π3\pi

cat 2024inequalitiesconcentric circlesregions

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