The circle o having a diameter of 2 cm,has a square inscribed on it,each square is then taken a diameter to form 4 smaller 0' circles,find the area of all four circle o' outside the cicle

• area of cirle O=pi*(1)^2 = pi
  
  Nw the diameter of circle is also the diagonal of the square.
  Hence each side of square will be sqrt(2).
  
  =>Area of square=2
  
  since each side of square is also the diameter of other 4 circles.
  Hence summation of area of 4 circles=2*pi...........(1)
  
  If u hav drwan its fig u'll find that to obtain the required ans u hav to subtract the area of 4 semi-circles formed on the side of the square from the each of the small portion outside the square.
  To get that area of small portion =area of circle O-area of square =pi-2.......(2)
  
  this small portion has to be substracted from the four semi-circles.
  Hence, area of 4 semi-circles=2*pi/2= pi......[from (1)]
  required ans=total area of 4 semi-circles - area of small portion(from (2))
  =pi-(pi-2)
  =2.
  
• 8 years agoHelpfull: Yes(2) No(0)
• Ans is: 2.........
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• 8 years agoHelpfull: Yes(1) No(0)
• Please explain how answer would be 2 cm^2.
• 8 years agoHelpfull: Yes(1) No(0)
• Ans:2
  
  
  
  
  
  
  
  
  
  
  
  
  
• 8 years agoHelpfull: Yes(0) No(0)