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The area of a circle of radius ‘a’ can be found by following integral
$$\int_{a}^{b} (a^{2}+x^{2}) dx$$
$$\int_{0}^{2 \pi} \sqrt{(a^{2}-x^{2})} dx$$
$$4 \times \int_{0}^{a} \sqrt{(a^{2}-x^{2})} dx$$
$$\int_{0}^{a} \sqrt{(a^{2}-x^{2})} dx$$
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