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Consider the regions A= {(x, y)|x^(2) + y^(2) le 100 } and B = {(x, y) |sin (x+y) gt 0} in the plane. Then find the area of the region A uu B. |
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Answer» SOLUTION :`X^(2) + y ^(2)le 100` So the pointslie inside the circle or on the circle. `""SIN (x+y) gt 0` `""x+y in (0, PI) uu ( 2pi, 3pi)…` `"" x+y = c` is the equation of the line `""` Required area= shaded REGION = `(1)/(2) pi (10)^(2) = 50 pi`
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