What would be the ratio of the radius of the circles to the side of

Question

What would be the ratio of the radius of the circles to the side of the square?

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Anoop managed to draw 7 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.

Asked by Mr.venkat, Last updated: Nov 20, 2024

John Smith · Accepted Answer

1. 1:(2+ 6âˆš2)The extreme circles will have radius perpendicular to sides of square so the part of diagonal till the centre of circle will be sqrt(2)  r and remaining portion is r , 5 more circles will contribute 10r and