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Find the area of the circle x^2 + y^2 = a^2 by using double integral.

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Find the area of the circle x2 + y2 = a2 by using double integral.

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Since, the circle is symmetric about the coordinates axes, area of the circle is 4 times the area OAB as shown in Figure.

For the region OAB, y varies from 0 to √(a2 - x2) and x varies from 0 to a.

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