Puzzle #173:Diving a Circle Into 7 parts

This is yet another wonderful puzzle sent by Suman Saraf. Thanks Suman!

Given a circle and it’s diameter, how can you partition it’s area into seven equal regions without using straight lines.

As always, please send your answers as comments within the blog (preferred), or send an e-mail to alokgoyal_2001@yahoo.com. Please do share the puzzle with others if you like, and please also send puzzles that you have come across that you think I can share in this blog.

Happy divisions!
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4 Responses to Puzzle #173:Diving a Circle Into 7 parts

  1. Abhinav Jain says:

    I think it can be done by dividing the circle into 7 concentric circles of radius
    R*sqrt(n/7) where n is the nth concentric circle from beginning and R the radius of big circle.

  2. Prakhar says:

    Alok, one may put them in 7 concentric circles with inner radius related to the outer one as R^2/7 and then move upwards to find the next radius as r2^2 as equal to 2* R^2/7 and so forth

  3. Divide it into concentric circles of R*sqrt(1/7) , R*sqrt(2/7) , and so on

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