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Example
Find the area of the sector in terms of π if radius is 2 cm and angle subtended is 60°.
180° = π radians
θ = 60° = π/3 radians
r = radius = 2
Area = (1/2) r2 θ
= (1/2) x 22 x π/3
= 2π/3 cm2
Example
Find the perimeter of the sector in terms of ∏ if the radius is 1 cm and angle subtended is 60°.
180° = π radians
θ = 60° = π /3 radians
r = radius = 1 cm
Arc Length = rθ
= 1 x π/3 = π/3 cm
Perimeter = π/3 + 1 + 1
= (π/3 + 2) cm