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Find the Area of the Sector Whose Arc Length and Radius Are 8 Cm and 3 Cm Respectively. - Geometry

Sum

Find the area of the sector whose arc length and radius are 8 cm and 3 cm respectively.

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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`

Concept: Areas of Sector and Segment of a Circle
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