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