Calculating Area Yellow.Notice.8 units is the side length of the regular heptagon.a = ⅐*180(7-2)a = ⅐(900)°a is the single interior angle of the regular heptagon.b² = 8²+8²-2*8*8cos(900/7)b = 14.4155...
Calculating Area BAC.Notice.The red length is the diameter of the circle.AB = 6 units.tana = 3/6a = atan(½)°b = 2ab = 2atan(½)°tan(2atan(½)) = c/6c = 6tan(2atan(½))c = 8 units.It implies, area BAC is...
Calculating Area of the Red Rectangle.Let x and y be the length and width of the red rectangle respectively.tana = 4/3a = atan(4/3)°b = 90-ab = atan(3/4)°c = ½(180-a)c = ½(180-atan(4/3))°d = ½(180-b)...
Calculating (x-y).Let the base of the ascribed triangle be 1 unit.a = 180-50-20-40-30a = 40°a is (x+y).cos(40+30) = (0.5*1)/bb = 0.5/cos70b = 1.46190220008 units.c = 180-20-40c = 120°(1/sin120) = (d/...
Calculating Area BCDA, Area of the Square.Let x be the side length of the square.½*a*x = 9ax = 18a = (18/x) units.a is CP.b = x-ab = x-(18/x)b = (x²-18)/x units.Notice.c = 25-9c = 16 square units.c i...
Calculating Angle alpha and the circumference of the inscribed circle.Let alpha be x.Notice.32π cm² is the area of the ascribed half circle.Calculating R, radius of the ascribed half circle.½*πR² = 3...
Calculating R, radius and circumference of the ascribed circle.a = √(3) units.a is the side length of the blue inscribed square.b = √(5) units.b is the side length of the green inscribed square.c = √...
Calculating Area Blue.Notice.The inscribed triangle is equilateral.Area Blue is;Area sector with radius 10 cm and angle 60° - Area sector with radius 5 cm and angle 120° - Area equilateral triangle w...
Calculating Blue Area.Let x be the side length of the big inscribed blue square.a = ½(10)a = 5 units.a is the radius of the half circle.b = ½(x) units.Calculating x.5² = x²+(½*x)²25 = x²+¼(x²)25 = ¼(...
Calculating Green Area.Let x be the side length of the square.a = ½(x) units.a is the radius of the inscribed half circle.tanb = ½(x)/xb = atan(½)°c = 2bc = 2atan(½)°d = 90-cd = (90-2atan(½))°d = 36....
