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CAT 2024 Set-3 | Quantitative Aptitude | Question: 18

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A circular plot of land is divided into two regions by a chord of length $10 \sqrt{3}$ meters such that the chord subtends an angle of $120^{\circ}$ at the center. Then, the area, in square meters, of the smaller region is
Ans

  1. $20\left(\frac{4 \pi}{3}+\sqrt{3}\right)$
  2. $20\left(\frac{4 \pi}{3}-\sqrt{3}\right)$
  3. $25\left(\frac{4 \pi}{3}+\sqrt{3}\right)$
  4. $25\left(\frac{4 \pi}{3}-\sqrt{3}\right)$

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