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Calculating a/b.Let r be the equal radius of the inscribed circle and half circle.It implies;r = ½(a) units.c = (a+b) units.c is the radius of the ascribed quarter circle.Let c be 1 unit.d = (1-½(a))...
Calculating Area Blue.Notice.The composite plane shape is not drawn to scale.a² = (3+3)²+(2+2)²-2*6*4cos120a² = 36+16+24a = √(76) units.a = 2√(19) units.a is AC.(2√(19)/sin120) = (6/sinb)b = 36.58677...
Calculating Area Blue.Let x be the side length of the inscribed regular pentagon.a = ⅕*180(5-2)a = 108°a is the single interior angle of the inscribed regular pentagon.b² = 2x²-2x²cos108b = 1.6180339...
Calculating Area Blue.a = ⅛*180(8-2)a = 45*3a = 135°a is the single interior angle of the ascribed regular octagon.b = ⅙*180(6-2)b = 30*4b = 120°b is the single interior angle of the inscribed regula...
Calculating Area Green.Let x be the side length of the ascribed square.a²+3² = x²a = √(x²-9) units.b = (90-y)°siny = 3/x --- (1).7² = x²+√(x²-9)²-2x√(x²-9)cos(90-y)49 = 2x²-9-2x√(x²-9)siny58 = 2x²-2x...
