A circular plot of land is divided into two regions by a chord of length 10 3 10\sqrt{3} 10 3 meters, which subtends an angle of 120 ∘ 120^\circ 12 ...

CAT Medium Circles MCQ

Question

A circular plot of land is divided into two regions by a chord of length

10\sqrt{3}

meters, which subtends an angle of

120^\circ

at the center. Find the area, in square meters, of the smaller region.

Options

A.

25 \left(\frac{4\pi}{3} + \sqrt{3}\right)

B.

20 \left(\frac{4\pi}{3} - \sqrt{3}\right)

C.

25 \left(\frac{4\pi}{3} - \sqrt{3}\right)

D.

20 \left(\frac{4\pi}{3} + \sqrt{3}\right)

circular sectorchordgeometry problemcat 2024

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