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ICSE Class 10 Answered

 FIND THE AREA OF THE REGION BOUNDED BY TWO CONCENTRIC CIRCLES IF THE LENGTH OF THE CHORD OF THE OUTER CIRCLE ,TOUCHING THE INNER CIRCLE ,IS 28CM.
Asked by Sonika S | 09 Sep, 2015, 08:35: PM
answered-by-expert Expert Answer

C o n s i d e r space t h e space a b o v e space f i g u r e. T h e space c h o r d space A B space o f space t h e space b i g g e r space c i r c l e space i s space a space tan g e n t space t o space t h e space s m a l l e r space c i r c l e. L e t space apostrophe R apostrophe space b e space t h e space r a d i u s space o f space t h e space b i g g e r space c i r c l e. A n d space apostrophe r apostrophe space b e space t h e space r a d i u s space o f space t h e space s m a l l e r space c i r c l e. C o n s i d e r space t h e space r i g h t space t r i a n g l e space O B C. B y space a p p l y i n g space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma R squared equals r squared plus 14 squared rightwards double arrow R squared minus r squared equals 14 squared rightwards double arrow R squared minus r squared equals 196 A r e a space o f space t h e space r e g i o n space b o u n d e d space b y space t h e space c o n c e n t r i c space c i r c l e s equals straight pi open parentheses straight R squared minus straight r squared close parentheses equals 196 straight pi space sq. cm

Answered by | 10 Sep, 2015, 11:16: AM

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