Q. 7

Calculate the area of the region between the circles x2 + y2 = 4 and (x – 2)2 + y2 = 4.

Answer :


Area of the region bounded by the curve y=f(x), the x-axis and the ordinates x=a and x=b, where f(x) is a continuous function defined on [a,b], is given by .


Given; x2 + y2 = 4 and (x – 2)2 + y2 = 4


By solving; x2 + 4 − (x – 2)2 = 4


x2 − x2 + 4x − 4 = 0


x = 1 is the point of intersection.


Required Area








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