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CBSE Class 11-science Answered

p r o v e space t h a t space t h e space a r e a space o f space s e c t o r space w i t h space s e c t o r space a n g l e space theta space a n d space r a d i u s space r space i s space 1 half r squared theta
Asked by Olivia Adhikary | 04 Aug, 2014, 12:48: PM
answered-by-expert Expert Answer
A r e a space o f space a space c i r c l e space w i t h space r a d i u s space apostrophe r apostrophe space i s space πr squared Angle space subtended space at space centre space in space straight a space circle space is space 360 to the power of straight o space or space 2 straight pi We space know space that space Area space of space straight a space circlle space and space the space angle space subtended space at space centre space are space directly space proportional. space therefore space For space an space angle space straight theta space subtended space at space centre space by space straight a space sector comma space Area space of space sector space left parenthesis straight A right parenthesis space is space given space by πr squared left right arrow space 2 straight pi straight A space left right arrow straight theta Cross space multiply space and space find space straight A comma space we space get straight A cross times 2 straight pi equals πr squared cross times straight theta straight A equals fraction numerator straight r squared straight theta over denominator 2 end fraction Hence space Proved
Answered by Dharma Teja | 05 Aug, 2014, 08:29: AM

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