Online Geometry Problems

Online Geometry Problem 1082: Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area. Level: High School, SAT Prep, College, Mathematics Education

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The figure below shows a square ABCD of center O, side "a" and area "S". Circles of centers A (radius AO) and C (radius CB) meet at E and E'. Circles of center B (radius BO) and D (radius DA) meet at F and F'. S1 is the area of triangle EOF.
Prove that (1) Problem 1082 Formula to prove; (2) angle EOF = 90 degrees; (3) Problem 1082 Formula to prove 3.
 

Geometry Problem 1082: Square, Circle, Center, Radius, Side, Isosceles Triangle, 90 Degrees, Area

 

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Last updated: Feb 13, 2015