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find the area of the region  {(x,y) / x ² +y ² <= 1 <= x+y}


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 find the area of the region  {(x,y) / x ² +y ² <= 1 <= x+y}
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x ² +y ² = 1 is a circle
x+y=1 is a straight line, graph them
the figure is shown below
upper curve is the circle y= sqrt(1-x ²), lower curve is the line y=1-x
solve the equations to get the points of intersection (0,1) and (1,0)
 answer and  some steps are given below
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