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Anoop managed to draw 5 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side.Find the ratio of the the side of the square to radius of the circles. You may assume that square root of 2 is 1.4
O 12.50 :1
O 07.60 :1
O 10.50 :1
O 09.00 :1
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07.60 :1
If radius of circles is r, then length of diagonal will be 8r + 2*(root2)*r
If a is side of square, then
8r + 2*(root2)*r = a*(root2)
a/r = [8 + 2*(root2)]/ root 2 = 4 root 2 +2 /1= 7.6
so ratio is 7.6:1- 13 years agoHelpfull: Yes(5) No(1)
- can any one explain it more clearly
how the length of diagonal will be 8r+ 2*(root2)*r
- 12 years agoHelpfull: Yes(0) No(0)
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