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Find the length of the arc, area and perimeterof the sector whose central angle is 450 and radius is 16 cm |
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Answer» ARC length=27.5cm Area of sector=618.75cm
⇒ 360° θ ×πr 2 =618.75cm 2
⇒ 360° θ ×2πr=27.5cm 2
⇒ θ/360°×2πr 360° θ ×πr 2
= 27.5 618.75 ⇒r= 27.5 618.75×2 =45cm ∴Radius of sector=45cm 360°/θ×2× 22/7 ×45=27.5⇒θ= 44×4527.5×360° =5° Central angle=5° Perrimeter= 360°/θ ×2πr+2r=27.5++2×445=117.5cm
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