Kindly move the question right/left one time to view the analysis.Thank you.Calculating x, angle CHF.a = ½(45)a = 22.5°a is angle OAC.b = 180-2ab = 180-45b = 135°b is angle AOC.c = 180-bc = 45°c is a...
Calculating Area Yellow÷Area Red.Notice.Inscribed blue square area is 8 m².a = √(8)a = 2√(2) m.a = 2.82842712475 m.a is the side length of the inscribed blue square.Let r be the radius of the inscrib...
Calculating area ADBC.Let let x be the side length of the small square.a = (2-x) cm.b² = x²+x²b = √(2x²)b = √(2)x cm.b is BD, the diagonal of the small square.c² = x²+a²c² = x²+(2-x)²c² = x²+4-4x+x²c...
Calculating Blue Area.It is;Area quarter circle with radius 4 cm - Area triangle with height and base 4 cm respectively.¼*4²π - ½*4²= ¼(16π)-½(16)= 4π-8= 4(π-2) square units.
Calculating length CH (x).a = 9+6a = 15 unitsa is AH.b = a+xb = (15+x) units.b is AC.Notice.EF = EH = 6 units.6²+c² = 9²c² = 81-36c = √(45)c = 3√(5) units.c is AF.3√(5) ~ 156 ~ dCross Multiply.3√(5)d...
Calculating 2R, diameter of the red inscribed circle.a = ½(16)a = 8 units.a is the radius of the inscribed yellow half circle.b = (16-R) units.c²+R² = b²c² = (16-R)²-R²c = √(256-32R+R²-R²)c = √(256-3...
Calculating the area of the semi circle.Let r be the radius of the half circle.a = 2r units.a is the diameter of the half circle.b² = (2r)²+7²-2*7*2rcosxb² = 4r²+49-28rcosx --- (1).b² = 2(15)²+2(15)²...
Calculating x.Let a be each of the two equal lengths.b² = 2a²b = √(2a²)b = √(2)a units.c = 2√(2)+5√(2)c = 7√(2) units.It implies;a ~ b7√(2) ~ dTherefore;a ~ √(2)a7√(2) ~ dCross Multiply.ad = 14ad = 1...
Calculating length CD.a = 360-60-60-90a = 150°a is angle BCD.b = 180-ab = 180-150b = 30°sin30 = c/x½ = c/xc = ½(x) units.d = x+xd = 2x units.d is AB.e = c+x+10e = ½(x)+x+10e = ½(3x+20) units.e = d.It...
Calculating Area Blue, Inscribed Square Area.Notice.2 units is the radius of the inscribed circle.tan60 = 2/a√(3) = 2/aa = ⅓(2√(3)) units.a = 1.15470053838 units.sin60 = 2/b½√(3) = 2/b4 = √(3)bb = ⅓(...
