Calculating x, the required red length.a = (16-y) cm.y is the radius of the inscribed blue circle.b = ½(16)b = 8 cm.Calculating y.(16-y)² = y²+8²256-32y+y² = y²+64256-32y = 64192 = 32yy = 6 cm.Again,...
Calculating Angle x.Let 1 unit be the radius of the quarter circle.Let y be the radius of the inscribed circle.Notice.OB = BD.OC = 8 cm, radius of the quarter circle.a = ½(OC)a = ½(8)a = 4 units.a is...
Calculating Area Green Inscribed Half Circle.Notice.Length AM = Length CM.AN = 2 cm.Let x be the radius of the inscribed half circle.a = 2+x+xa = (2+2x) cm.a is the radius of the the ascribed sector....
Calculating Area BCDA, Area of the Ascribed Square.Notice.Length EF = 1 cm.Let x be the FD, the radius of the congruent circles.a² = 2x²a = √(2)x cm.b = ½(a)b = ½√(2)x cm.c = x+bc = (x+½√(2)x) cm.Cal...
Calculating Area Red.a = 6-2a = 4 units.b = 10-3b = 7 units.It implies;Red Area is;Area rectangle with length 10 units and width 6 units - Area triangle with height 4 units and base 3 units - Area tr...
Calculating 2R.R is the radius of the inscribed circle.a = (8-R) units.b = (8+R) units.b¹ = (16-R) units.c²+R² = (16-R)²c² = 256-32R+R²-R²c = √(256-32R) units.R is;√(256-32R)²+(8-R)² = (8+R)²256-32R+...
Calculating the radius, R and circumference of the circle.a² = 4²+8²-2*4*8cos60a = 6.92820323028 units.a is BD.(6.92820323028/sin60) = (8/sinb)b = 90°b is angle BDC.c² = 7²+4²-2*4*7cos120c = 9.643650...
Calculating Square Area.Let x be the side length of the square.a = 4+2a = 6 cm.b²+x² = 6²b² = 36-x²b = √(36-x²) units.c = ½(4)c = 2 units.Calculating x² (Area of the square).6 ~ x√(36-x²) ~ 2Cross Mu...
Calculating x (length AD).a = 180-60a = 120°a is angle ABC.cos60 = 7/bb = 14 units.tan60 = c/7c = 7√(3) units.d = b+9d = 14+9d = 23 units.sin60 = 23/e½√(3) = 23/ee = 46/√(3)e = ⅓(46√(3)) units.Theref...
Calculating x.Notice.The ascribed plane shape is a square.tana 10/5a = atan(2)°b = 180-ab = (180-atan(2))°c = ½(b)c = (90-0.5atan(2))°d = (5-y) units.y is the radius of the inscribed circle.Calculati...
