Problem 692: Quatrefoil, Four Equal Circles and a Circle Inscribed
in a Square, Areas, Mind Map, Polya.
Level: High School, College, Math Ed.
The figure shows a quatrefoil formed by four equal circles E,F,G,H
and a circle O inscribed in the square ABCD. Prove that the area
of the yellow shaded regions is equal to the area of the blue
shaded region.
Geometric Art of Problem 692: Sketching, Typography, iPad Apps
How to Solve It, Interactive Mind Map
George Pólya's 1945 book "How to Solve It, A new
aspect of Mathematical Method", is a book
describing methods of problem solving. It
suggests the following steps when solving a
mathematical problem: (1) First, you have to
understand the problem. (2) After understanding,
then make a plan. (3) Carry out the plan. (4)
Look back on your work. How could it be better? Mind Map Help. To see a note: Hover over a yellow note button. To Fold/Unfold: click a branch. To Pan: click and drag the map canvas.

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