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An arc of a circle subtends an angle 70° at the centr...

An arc of a circle subtends an angle 70° at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(π = 227)

A.

22cm2

B.

44cm2

C.

66cm2

D.

88cm2

Correct answer is A

Area of a sector = \frac{\theta}{360°} \times \pi r^{2}

r = 6cm; \theta = 70°.

Area of the sector = \frac{70}{360} \times \frac{22}{7} \times 6^{2}

= 22 cm^{2}