In a circle of radius 7 cm, an arc subtends an angle of \( \Large 108 ^{\circ} \) at the centre. The area of the sector is

A) \( \Large 43.2\ cm^{2} \)

B) \( \Large 44.2\ cm^{2} \)

C) \( \Large 45.2\ cm^{2} \)

D) \( \Large 46.2\ cm^{2} \)

Correct answer:
D) \( \Large 46.2\ cm^{2} \)

Description for Correct answer:

Area of setor = \( \Large \frac{\theta}{360} \times \pi r^{2} \)

= \( \Large \frac{108}{360} \times \frac{22}{7} \times 49 \ cm^{2}\)

= \( \Large 46.2\ cm^{2} \)



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