Question

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

• A. \(20(\frac{4\pi}{3}+\sqrt{3})\)
• B. \(20(\frac{4\pi}{3}-\sqrt{3})\)
• C. \(25(\frac{4\pi}{3}+\sqrt{3})\)
• D. \(25(\frac{4\pi}{3}-\sqrt{3})\)