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Home Geometry Mind Maps Problems Open Problems Visual Index 691-700 Square Circles Circular Segment Areas Inscribed Circle Solution
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Problem 693: Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya.
Level: High School, College, Math Ed.
The figure shows a circumscribed circle about a square ABCD and
the inscribed circle in the square ABCD. Prove that the area
of the yellow shaded region is equal to the area of the blue
shaded region.
Typography and Sketch of Problem 693: Nazca Lines: The Hummingbird in the background.
Geometric Art using Mobile Apps
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.
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? 
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