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Question
What is the length of the arc intercepted by a central angle of measure 41° in a circle of radius 10 ft?
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Solution
Central angle subtended by the arc θ = 41°
θ = `41 xx pi/180` Radians
The radius of the circle r = 10 feet
Length of the arc = s
s = r θ
= `10 xx 41 xx pi/180^circ`
= `10 xx 41 xx 22/(7 xx 180)`
= `(41 xx 11)/(7 xx 9)`
= `451/63`
= 7.16 ft
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