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A chord of a circle subtends an angle of 120° de...

A chord of a circle subtends an angle of 120° degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

A.

4π cm2

B.

32 π cm2

C.

16 π cm2

D.

8 π cm2

Correct answer is D

Diameter = 43 cm<

radius = 23 cm

Area of major sector = θ360×πr2

\theta = 360 - 120 = 240°

= \frac{240}{360} \times \pi \times 12

= 8\pi cm^{2}