Home » An arc of a circle of radius 14cm subtends angle 300o at the center. Find…

An arc of a circle of radius 14cm subtends angle 300o at the center. Find…

An arc of a circle of radius 14cm subtends angle 300o at the center. Find the perimeter of the sector formed by the arc
  • A.
    14.67cm
  • B.
    42.67cm
  • C.
    101.33cm
  • D.
    543.33cm
Correct Answer: Option C
Explanation

The perimeter of the sector (=2r+frac{theta}{360}times 2pi r \
Rightarrow 28 + frac{300}{360} times frac{2}{1} times frac{22}{7}times frac{14}{1} = frac{220}{3}+28\
73.133+28=101.33cm)

Related:  In the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145°,...