“Mathematics is the most beautiful and most powerful creation of the human spirit.”
Stefan Banach
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Calculating Green Area : Red Area.Let x be the red square side length.Let 2 units be the green square red length.Area green is;2²= 4 square units.Calculating x.a = (2-x) units.b = 90-60b = 30°tan30 =...
Calculating Angle x.Let 2 units be the radius of the ascribed quarter circle and a be the radius of the inscribed circle.Calculating a.b = (2-a) units.It implies;2a² = (2-a)²2a² = 4-4a+a²a²+4a-4 = 0(...
Calculating Length EF.Let x be EC = CH, radius of the small inscribed circle.a = (20-x) cm.tanb = 10/20b = atan(½)°c = ½(90-2atan(½))c = ½(atan(2)-atan(½))c = 18.4349488229°Calculating x, radius of t...
Calculating Area Green Inscribed Square.Let x be the side length of the green square.a² =2x²a = √(2)x units.a is the radius of the ascribed half circle.b² = (√(2)x)²+x²b² = 2x²+x²b = √(3)x units.c =...
