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Question
Find the area of the sector whose arc length and radius are 8 cm and 3 cm respectively.
Solution
Length of arc, S = 8 cm
Radius of circle, r = 3 cm
`"S" = rθ ⇒ θ = "S"/r = 8/3`radians
`8/3"radians"=180/pixx8/3=(480/pi)@`
`"Area of the sector "=theta/360xxpir^2=480/(360xxpi)xxpir^2=4/3xx9=12"cm"^2`
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