Go Geometry Problems

Online Geometry Problem 697: Square, Circle, Area, Sector, Segment, Tangent, Inscribed, Congruence. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a square ABCD of area S and the inscribed circle of center O. Circles E and G are tangent to circle O and tangent each other at the center O. Prove that the area of the yellow shaded region is equal to three quarters of S. See also: Typography of problem 697 using mobile apps, Problem 697 in motion.
 

Geometry problem: Square, Circle, Area, Congruence
 

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