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.(\(\pi\) = \(\frac{22}{7}\))

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 = \(\frac{70}{360} \times \frac{22}{7} \times 6^{2}\)

= \(22 cm^{2}\)