Calculating Blue Area, Square.Let x be the side length of the blue square.a = (x+2) units.a is the diameter of the circle.b = ½(a)b = ½(x+2) units.b is the radius of the circle.c = ½(x-2) units.d = ½...
Calculating R, radius of the circle.Let theta be x.x+x+x = 360x = 120°a² = 6²+5²-2*5*6cos120a² = 61+30a = √(91) units.(√(91)/sin120) = (6/sinb)b = 33.0044915989°c² = 5²+15²-2*5*15cos120c² = 250+75c =...
Calculating Alpha, let it be x.Let the equal lengths be 1 unit each.a = 180-30-40a= 110°(1/sin30) = (b/sin40)b = 2sin40b = 1.28557521937 units.c² = 1.28557521937²+1²-2*1.28557521937*1cos30c = 0.65270...
Calculating Area Triangle AED.Let x be CD.Figuring an equilateral triangle OCD considering the strategic given two equal angles, 60°.a = (x-8) units.a is DE.b = (x-10) units.b is OA.cos60 = c/8c = 4...
Calculating Area Blue Square.a = ½(8)a = 4 units.b² = 4²+2²b² = 20b = 2√(5) units.b is the side length of the white inscribed square.c² = 4²+8²c² = 80c = 4√(5) units.c is 2b.Therefore, blue square ar...
Calculating Green Area.a = ½(3+3+2)a = 4 units.a is the radius of the ascribed half circle.b²+x² = 4²b = √(16-x²) units.Where x is the radius of the green half circle.c = ½(3)c = 1.5 units.d = 3+1.5-...
Sir Mike Ambrose is the author of the question.Calculating Area Gold.Area Gold exactly in square cm decimal form is;Area trapezium with two parallel side 6√(13) cm and 14.9769052981 cm, and height 11...
Calculating Blue Area.Let x be the side length of the blue square.a² = 7²+24²a = √(7²+24²)a = 25 units.b = a+7b = 25+7b = 32 units.c² = b²+24²c = √(32²+24²)c = 40 units.d = ½(c)d = 20 units.d is the...
Calculating Area Green.Let x be the radius of the half circle.a = ½(8)a = 4 units.x = (4+b) units.Recall, x is the radius of the half circle.c²+4² = (4+b)²c² = 8b+b²c = √(8b+b²) units.d = 2cd = 2√(8b...
Calculating Area Red.Let x be the side length of the ascribed square.a = 2+3a = 5 units.b²+5² = x²b = √(x²-25) units.Calculating x.cosc = √(x²-25)/x --- (1).cosc = 3/x --- (2).Equating (1) and (2).√(...
