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Question
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 `pi = 22/7`)
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Solution
Let O be the centre, and AB be the arc length of the circle.
l = AB = 22 cm
r = OA = OB = 100 cm
∵ arc = radius × angle
Where arc, l = 22 cm radius
radius r = 100 cm
22 = 100 × θ
θ = `22/100` radian
= `22/100xx180/pi` degree
= `22/100xx180/22xx7` degree
= `63/5` degree
= 12° 36'
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