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.
 

Quatrefoil area, Circles, Lunes
 
 

Geometric Art of Problem 692: Sketching, Typography, iPad Apps, Quatrefoil area, Circles, Lunes
 
 

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.

College Geometry: Gergonne Point, Online Education

 

 

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