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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the Area of the Sector Whose Arc Length and Radius Are 14 Cm and 6 Cm Respectively. - Geometry Mathematics 2

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प्रश्न

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

बेरीज

उत्तर

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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2014-2015 (March) Set A

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