Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (Use π = 22/7).
Given: l = 22cm (length of arc) and r = 100cm (radius of circle)
We know that θ = 
(here, θ is angle subtended by arc)
∴ θ = 
= 0.22 radians
We know that 1 radian = 
°
∴ 0.22radian = 0.22 × 
= 0.22 × 
= 12.6 = 
= 12° + 
= 12°36’
∴ Angle subtended by arc of length 22 cm at the centre of the circle of radius 100cm is 12°36’.
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