6 Bangles each of 4cm in daimeter,what is ther minimum diameter of plate required so that each bangles are kept without overlapping(bangles touching each other)?

• the line joining the centre of all the circle will make a regular hexagon of side 4 cm..
  according to the formula,the longest diagonal will be twice of the length of the side of the hexagon=8cm
  this diagonal will be the distance between the 1st and 4th circle..
  now,the circle with diameter 8 cm will pass through the center of all the circles..
  minimum diameter for the plate will be 8+2+2=12 cm
• 11 years agoHelpfull: Yes(82) No(8)
• one bangle at the center and the remaining 5 surrounding them.... so radius of the center + the diameter of the outer bangle....
  so 4+2=6cms
• 13 years agoHelpfull: Yes(54) No(62)
• the answer will be 12 cm.
• 10 years agoHelpfull: Yes(14) No(4)
• A min of 12 cm diameter plate is required because 1 in the middle and 5 around it can be arranged.
  If you imagine a plate containing bangles as mentioned then we will know that the min diameter required is 12cm.
• 10 years agoHelpfull: Yes(10) No(1)
• the perimeter of one bangle = pie*d = (22/7)*4
  Hence, perimeter of 6 bangles = 6*(22/7)*4
  now perimeter of six bangles will be equal to the perimeter of plate.
  let D be the diameter of the plate
  therefore, pie*D=6*(22/7)*4
  or, (22/7)*D=6*22/7*4
  or, D=6*4=24
  Hence, diameter pf the plate will be 24cm..........It may be, not sure
• 13 years agoHelpfull: Yes(6) No(43)
• anyone tell me correct answer of this question??
  
• 11 years agoHelpfull: Yes(5) No(2)
• it is less than 12 cm.
• 12 years agoHelpfull: Yes(4) No(4)
• the perimeter of one bangle = pie*d = (22/7)*4
  Hence, perimeter of 6 bangles = 6*(22/7)*4
  now perimeter of six bangles will be equal to the perimeter of plate.
  let D be the diameter of the plate
  therefore, pie*D=6*(22/7)*4
  or, (22/7)*D=6*22/7*4
  or, D=6*4=24
  Hence, diameter pf the plate will be 24cm.
• 12 years agoHelpfull: Yes(4) No(21)
• 1 in center and remaining 5 in surrounding. so radius will be = 4+(4/2)=6cm
  and diameter of plate is=6*2= 12 cms
• 10 years agoHelpfull: Yes(4) No(0)
• ans is 6...compare the sum of areas of 6 bangle(circle) with the bigger circle(plate)...
  
  24*pi >= pi*r^2
  => r=5.xx
  considering the next integer...r=6
• 11 years agoHelpfull: Yes(3) No(8)
• 1 in center and remaining 5 in surrounding. so radius will be = 4+(4/2)=6cm
  and diameter of plate is=6*2= 12 cms....
  
• 9 years agoHelpfull: Yes(2) No(0)
• 6 bangles have to kept around a plate in such a way that they should not overlap !
  lets say the min dia of the plate is R
  then the circumference of that plate comes out to be - 2*pi*R
  also the circumference of the plate equals 6*4
  equating both the above equations we obtain =>
  2*pi*R = 6*4
  giving R= 3.8cm
• 13 years agoHelpfull: Yes(1) No(17)
• for completely occupy the diameter of the plate which cover all the 6 bangles without overlapping we put
  1 bangle center of the plate alll other 5 around that bangle hence
  the min dia of the plate would be = 2+4
  =6cm
• 10 years agoHelpfull: Yes(1) No(0)
• diameter of plate should be 12cm
• 9 years agoHelpfull: Yes(1) No(0)
• perimeter of plate containing 6 bangles>=2*3.14*(4/2)*6
  6 is multiplied becoz 6 plates are there
  hence required perimeter will be >=2*3.14*R
  on comparing 2*3.14*R=2*3.14*2*6
  Hence,clearly minimum R=2*6=12 cm
• 9 years agoHelpfull: Yes(1) No(0)
• answer will be 12
• 7 years agoHelpfull: Yes(1) No(0)
• the distance between 1st and 4th circle would be around dist = sqrt(6*6+4*4)
  which is(7.21 cm) and radoius of two circles (2+2 = 4)
  than overall diameter of plate would be around 7.21+4 = 11.21cm.
• 12 years agoHelpfull: Yes(0) No(3)
• (4 root 3)/3 + 2
• 11 years agoHelpfull: Yes(0) No(3)
• it should be 14cm
• 10 years agoHelpfull: Yes(0) No(2)
• correct ans is 6 cm
  6*4=24,
  now total dia meter is devided by diameter of one bangle dia.
  24/4=6 cm
• 10 years agoHelpfull: Yes(0) No(0)
• answer will be nearest 12 cm diameter (
• 9 years agoHelpfull: Yes(0) No(0)
• my ans is 11.6cm. Kindly mention options along wd d ques. so that one cn chk ans.
• 9 years agoHelpfull: Yes(0) No(0)
• One bangle in center and remaining 5 surrounding them .....and so radius of center bangle + outer bangles
  so total diameter = 11.23 cm(accurate)
• 9 years agoHelpfull: Yes(0) No(0)
• it is given that
  S2n = 3Sn
  but Sn = n(n+1)/2
  => 2n(2n+1)/2 = 3n(n+1)/2
  => n = 1
  then S3n/Sn = [3n(3n+1)/2]/[n(n+1)/2] = 3*4/1*2 = 6
  
• 9 years agoHelpfull: Yes(0) No(0)
• One bangle at the center and the remaining 5 surrounding them, so radius of the center +the diameter of the outer bangle = 4+2=6cms
• 9 years agoHelpfull: Yes(0) No(0)
• 6 IHH LLJLL LLLL L L
• 8 years agoHelpfull: Yes(0) No(1)
• 1 in center and remaining 5 in surrounding.
  radius = 4+(4/2)=6 cm
  diameter of plate is=6*2= 12 cms
• 7 years agoHelpfull: Yes(0) No(0)
• 12 is the correct answer
  Explanation : 4*3 =12
  Please approve
• 7 years agoHelpfull: Yes(0) No(0)
• whether we take hexagon of 6 bangles or pentagon of 5 bangles with one in center ans will be 12.
  
  for hexagon, distance of one vertex from the center of bigger circle = (length of one side of hexagon/2sin(180/6)) = 4
  Thus, radius of bigger circle = 4+2 = 6, diameter = 12cm
• 7 years agoHelpfull: Yes(0) No(0)