CAT Quant Practice Problems

Question: Two circles, both of radii 1 cm, intersect such that the circumference of each one passes through the centre of the other. What is the area (in sq. cm.) of the intersecting region?

\(\frac{\pi }{3} - \frac{{\sqrt 3 }}{4}\)
\(\frac{{2\pi }}{3} - \frac{{\sqrt 3 }}{2}\)
\(\frac{{4\pi }}{3} - \frac{{\sqrt 3 }}{2}\)
\(\frac{{4\pi }}{3} + \frac{{\sqrt 3 }}{4}\)
\(\frac{{2\pi }}{3} - \frac{{\sqrt 3 }}{4}\)
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