A sector is cut from a circle of radius 42cm. The central angle of the sector is 150°. Find the length of the arc.

Given: Radius of a circle, r = 42cm
Central Angle of the sector, θ = 150°
To find: Length of the arc i.e. AB
Now,
Length of an arc of a sector of angle θ![]()
⇒ Length of an arc of a sector of angle θ ![]()
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⇒ Length of an arc of a sector of angle θ![]()
⇒ Length of an arc of a sector of angle θ = 5×22 =110 cm
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