Maths-
General
Easy

Question

The area of shaded region from the adjacent figure is

  1. 11.55 cm2    
  2. 115.5 cm2    
  3. 105.5 cm2    
  4. 125.5 cm2    

hintHint:

area of a quarter circle is one-fourth of area of complete circle

The correct answer is: 115.5 cm2


    a r e a space o f space s h a d e d space equals a r e a space o f space o u t e r space q u a r t e r space c i r c l e space minus a r e a space o f space i n n e r space q u a r t e r space c i r c l e
a r e a space o f space o u t e r space q u a r t e r space c i r c l e equals left parenthesis straight pi asterisk times 26 asterisk times 26 right parenthesis divided by 4 equals 530.6 space sq minus cm space space space space space space space left parenthesis straight r equals 26 right parenthesis
area space of space inner space quarter space circle space equals left parenthesis straight pi asterisk times 23 asterisk times 23 right parenthesis divided by 4 space equals 415.26 space sq minus cm space space space space space left parenthesis straight r equals 23 right parenthesis
area space of space shaded space equals 530.6 minus 415.26 space equals 115.335 space sq minus cm

    area of any arc forming angle a is =(3.14*r*r)*(a/360)

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