The circle O having a diameter of 2 cm, has a square inscribed in it, each side of the square is then taken as a diameter to form four smaller circles O', FInd the total are of four circles O' which are outside the circle

• ans: 2
  
  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 subtracted 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.
• 10 years agoHelpfull: Yes(1) No(0)