Considering each corner of square as center, circles are drawn.Another circle at center of square is drawn touching each of four circles what is radius of circle if all circles have equal radii and side of square is 2 unit.

• diagonal of sq= (sqrt2)a=2*1.414
  all circle touches each other means, radii of two corner circle and one center diameter of center circle is = diagonal of square.
  i.e, r+r+2r=2*1.414
  => r=1/1.414=0.707
• 11 years agoHelpfull: Yes(40) No(3)
• 1 / sqrt2 = 0.707 units
  
  distance b/w centre of square and it's corner = 2 * radius of circle
  => sqrt2 = 2 * radius
  => radius = 0.707 units
• 11 years agoHelpfull: Yes(6) No(3)
• taking along the diagonal...
  r+2r+r=root(2)*2=2.82
  therefore r=2.82/4=.705
• 11 years agoHelpfull: Yes(4) No(1)
• ans :1 unit
• 11 years agoHelpfull: Yes(2) No(10)
• as all the circles have equal radius, and we know there are 3 circles on the diagonal.
  length of diagonal= 2(sqrt(2))
  radii of each circle= (2(sqrt(2))/4 = 0.707
  we divide here by 4 because circle at the center consists of diagonal which is equal to 2r.
• 11 years agoHelpfull: Yes(2) No(0)
• diagonal of square= sqrt(2^2 + 2^2)
  i.e diagonal= sqrt(8)
  if radius of each circle is r
  den, diagonal= r+2r+r=4r
  => 4r=sqrt(8)
  => r=sqrt(1/2)=0.707
• 11 years agoHelpfull: Yes(1) No(0)
• d=2*1.414-2
  =.82
  r=.82/2
  =.41
• 11 years agoHelpfull: Yes(0) No(2)
• ans 1/sqrt2=.707
• 7 years agoHelpfull: Yes(0) No(0)