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

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CAT 2024 Slot 3 QA · Question 4

A circular plot of land is divided into two regions by a chord of length $103$ meters such that the chord subtends an angle of $12 0^{\circ}$ at the center. Then, the area, in square meters, of the smaller region is

A.
$25 (\frac{4 π}{3} + 3)$
B.
$20 (\frac{4 π}{3} - 3)$
C.
$25 (\frac{4 π}{3} - 3)$
D.
$20 (\frac{4 π}{3} + 3)$

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