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CAT 2024 Geometry & Mensuration — Previous Year Question

Year

CAT 2024

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-3

A circular plot of land is divided into two regions by a chord of length 10310 \sqrt{3} meters such that the chord subtends an angle of 120120^{\circ} at the center. Then, the area, in square meters, of the smaller region is

25(4π3+3)25\left(\frac{4 \pi}{3}+\sqrt{3}\right)

20(4π33)20\left(\frac{4 \pi}{3}-\sqrt{3}\right)

25(4π33)25\left(\frac{4 \pi}{3}-\sqrt{3}\right)

20(4π3+3)20\left(\frac{4 \pi}{3}+\sqrt{3}\right)

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