The circle o having a diameter 2 cm,has a square inscribed in it.Each side of the square is then taken as a diameter to form 4 smaller circles O".Find the total area of all four O" cicles which is outside the circle :I dnt knw ans...Plz provide solutions..

1) 2
2) pi-2
3) 2-pi/4
4) 2-pi/2

• 1) 2
  Well area of cirle O=pi.(Plzz dnt ask How!!!)
  
  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.
• 11 years agoHelpfull: Yes(2) No(2)