Maths-
General
Easy

Question

Find the Area of the shaded portion in the given figure in sq.cm.

  1. 42.5    
  2. 10.5    
  3. 64.5    
  4. 144.5    

The correct answer is: 10.5


    Area of the shaded region = Area of the square -Area of the four Quarter circle
    Area of square =  side * side
    = 7*7
    =49 space c m squared


    R a d i u s space o f space 4 space e q u a l space q u a d r a n t s space equals 7 over 2 c m
A r e a space o f space f o u r space q u a r t e r space c i r c l e space equals space 4 cross times space 1 fourth space cross times πR squared
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 22 over 7 cross times left parenthesis 7 over 2 right parenthesis squared space space space space space space space space space space space space space space space space space space space space space space space space space space space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator space 11 cross times 7 over denominator 2 end fraction
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 77 over 2
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 38.5 space cm squared
    Area of shaded region = 49 -38.5
    =10.5 space c m squared

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