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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