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Question
Find the area of the sector whose arc length and radius are 14 cm and 6 cm respectively.
Solution
Length of arc, S = 14 cm
Radius of circle, r = 6 cm
`"S" = rθ ⇒ θ = "S"/r = 14/6`radians
`14/6"radians"=180/pixx14/6=(420/pi)@`
`"Area of the sector "=theta/360xxpir^2=420/(360xxpi)xxpir^2=7/6xx36=42"cm"^2`
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