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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 8 Cm and 3 Cm Respectively. - Geometry Mathematics 2

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प्रश्न

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

बेरीज
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उत्तर

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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2014-2015 (March) Set B
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