Mathematics

A sector of a circle of radius 9cm subtends angle 120° at the centre of…

A sector of a circle of radius 9cm subtends angle 120° at the centre of the circle. Find the area of the sector to the nearest cm(^2) [Take π = 22/7]

  • A.
    75cm2
  • B.
    84cm2
  • C.
    85cm2
  • D.
    86cm2
  • E.
    95cm2
Correct Answer: Option C
Explanation

Area of a sector = θ/360 x πr(^2)

= 120/360 x 22/7 x 81/1

= 84.86 cm(^2)

(approxeq) 85cm(^2) (to the nearest cm)