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Find the Area of the Sector Whose Arc Length and Radius Are 14 Cm and 6 Cm Respectively. - Geometry

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Sum

Find the area of the sector whose arc length and radius are 14 cm and 6 cm respectively.

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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`

Concept: Areas of Sector and Segment of a Circle
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