An arc of a circle subtends an angle 70o 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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Area of a sector = \(\frac{\theta}{360^\circ} \times \pi r^{2}\)
r = 6cm; \(\theta\) = 70^\circ.
Area of the sector = \(\frac{70}{360} \times \frac{22}{7} \times 6^{2}\)
= \(22 cm^{2}\)
Source: Myschool Past Questions Archive (Record #30824)