Calculating Red Area.Notice.45 cm is the side length of the square.a = 45-9-18a = 18 cm.tanb = 45/18b = atan(5/2)°c = 180-bc = 180-atan(5/2)c = (90+atan(2/5))°c = 111.801409486°d = ½(90)d = 45°e = 18...
Calculating x and R.x*8 = 12*5x = 60/8x = ½(15)x = 7.5 units.a = 180-120a = 60°b² = 8²+5²-2*8*5cos120b = √(129) units.b = 11.3578166916 units.c² = 12²+8²-2*12*8cos60c = 4√(7) units.c = 10.5830052443...
Calculating (ED)² +(DC)².a² = √(3)²+√(3)²a = √(6) units.a is the radius of the ascribed half circle.tanb = √(3)/ab = atan(√(3)/√(6))b = atan(1/√(2))b = atan(½√(2))°b = 35.2643896828°b is angle OBG.c...
Calculating Area Green ÷ Area Red.Let the two equal lengths be 1 unit each.It implies;Red Area is;½*1*1= ½ square units.a = 1+1a = 2 units.b² = 2²+1²b² = 5b = √(5) units.2 ~ c1 ~ 2Cross Multiply.c =...
Calculating length BP.Let it be x.a²+a² = 4²2a² = 16a² = 8a = √(8)a = 2√(2) cm.a is AB, the side length of the square.b = 45-30b = 15°b is angle CAP.tan30 = c/(2√(2))c = 2√(2)tan30c = 1.63299316186 c...
Calculating R, radius of the circle.Let alpha be x.y² = 11²+37²-2*11*37cosxy² = 1490-814cosx --- (1).y² = 26²+37²-2*26*37cosxy² = 2045-1924cosx --- (2).Equating (1) and (2).1490-814cosx = 2045-1924co...
Calculating Area Green.a = ½(5)a = 2.5 units.a is the radius of the inscribed white quarter circle.b = 180-2atan(2.5/5)b = (180-2atan(½))°Area Green is;Area square with side 5 units - Area quarter ci...
Calculating length AK.Notice.CM = 64/17 units.AB = AD = BC = CD = 8 units.r is the radius of the circle.a²+(64/17)² = 8²a² = 64-(4096/289)a² = 14400/289a = √(14400/289)a = 120/17 units.a is BM.b = 2r...
Calculating the required green area.Notice.OP = AP = r.R = 2r.a² = (2r)²+r²a² = 4r²+r²a = √(5r²)a = √(5)r units.a is CP = OQ.r ~ ab ~ 2rIt implies;r ~ √(5)rb ~ 2rCross Multiply.2r² = √(5)rbb = 2r/√(5...
Calculating r.a² = 2(2r)²a = √(2(2r)²)a = 2√(2)r unitsa is the diagonal of the inscribed square.b² = 2r²b = √(2)r units.c = a+b+rc = 2√(2)r+√(2)r+rc = (1+3√(2))r units.c is the diagonal of the ascrib...
