I have an image of the problem which is quite self-explanatory. enter image description here

Any ideas?

  • $\begingroup$ I don't see a way that doesn't take some work. Draw lines to make a few triangles and sectors, and see if you can wiggle your way from area calculation to area calculation to finally arrive at an answer. $\endgroup$
    – Arthur
    Commented Dec 25, 2015 at 16:56

1 Answer 1


$\pi x=$ area of $3$ equal pieces. So area of one piece$=\pi x/3$.

Now notice that

area of one piece= Area of a sector of a circle which has a central angle of $\pi /3$ rad$= r^2 \pi/6$.


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