A circle O having the diameter of 2 cm, has a square inscribed in it.Each side of square is
taken as diameter to form 4 smaller circles OO''.Find the total area of all the four OO' circles which is outside the circle O
Options a)2 B)pi-2 C)2-pie/4 D)2-pie/2

• area of circle O= 22/7*(1^2)=22/7 sq.cm
  side of square=2^1/2 * a
  here diagonal length=2. so a=2^1/2 cm
  area of square =a^2=2 sq.cm
  area of one smaller circles=(22/7)*2 sq.cm
  area of one smaller circle outside circle O=((22/7)*2)/2-8/28 sq.cm
  area of 4 smaller circle=22/7-8/7=14/7=2 sq.cm
• 11 years agoHelpfull: Yes(9) No(3)
• area of cirle =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.
• 11 years agoHelpfull: Yes(6) No(0)
• when i solved i got pi as answer
  help
• 11 years agoHelpfull: Yes(2) No(2)
• yeah diksha i have also got the pi
• 11 years agoHelpfull: Yes(1) No(1)
• correct ans is 2
• 11 years agoHelpfull: Yes(1) No(0)
• can any one tell me how is it becomes 2 because we have to find the area of circle OO" which is outside of the circle O not out side of square..
• 11 years agoHelpfull: Yes(0) No(0)
• area of large circle = pie
  area of square is 2
  now,take 1 smaller circle and
  calculate area of half of circle = pie/4
  next calculate (area of circle -area of square)/4===(pie-2)/4
  now area of 1 circle outside the circle = pie/4-[(pie-2)/4]===1/2
  now we get area of 1 circle which is outside from circle hence multiply by 4 we get 1/2*4=2
  
• 10 years agoHelpfull: Yes(0) No(0)