Consider the regions A={(x,y)∣x2+y2≤100}andB=∣∣xy∣∣sin(x+y)>0} in the plane. Then the area of the region A∩B is

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Question

Consider the regions $A = {(x, y) ∣ x^{2} + y^{2} \leq 100} and B = ∣ ∣ x y ∣ ∣ sin (x + y) > 0}$ in the plane. Then the area of the region $A \cap B$ is

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Consider the regions

A = {(x, y) ∣ x^{2} + y^{2} \leq 100} and B = ∣ ∣ x y ∣ ∣ sin (x + y) > 0}

in the plane. Then the area of the region

A \cap B

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Question Text

Consider the regions

A = {(x, y) ∣ x^{2} + y^{2} \leq 100} and B = ∣ ∣ x y ∣ ∣ sin (x + y) > 0}

in the plane. Then the area of the region

A \cap B