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Question
Find the degree measure of the angle subtended at the centre of circle of radius 100 cm by an arc of length 22 cm
Solution
Given radius r = 100 cm.
Length of arc s = 22 cm.
Angle subtended by the arc at the centre = θ radians
s = r θ
θ = `"s"/"r"`
θ = `22/100` radians
θ = `(22/100 xx 180/pi)^circ`
= `22/100 xx 180/22 xx 7`
θ = 12° 36'
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