Calculating Area Green.Let x be the side length of the ascribed square.a²+3² = x²a = √(x²-9) units.b = (90-y)°siny = 3/x --- (1).7² = x²+√(x²-9)²-2x√(x²-9)cos(90-y)49 = 2x²-9-2x√(x²-9)siny58 = 2x²-2x...
Calculating C, circumference of the circle in terms of π.Let r be the radius of the circle.a = (r-6) units.b = (r+6) units.Calculating r.(r-6)(r+6) = 3*7r²-36 = 21r² = 57r = √(57) units.Therefore, ci...
Calculating x and y.a = 6+6a = 12 units.a is the diameter of the half circle.sinb = a/13b = asin(12/13)°c²+12² = 13²c² = 169-144c = √(25)c = 5 units.Calculating x.tan(0.5b) = 6/xx = 6/tan(0.5asin(12/...
Calculating length EC.Let it be x.Let y be the radius of the blue inscribed circle.It implies;a = y+y+y+ya = 4y units.a is the diameter of the ascribed circle.b²+(25+4)² = (4y)²b² = 16y²-29²b = √(16y...
Calculating x, length AD.Notice.Plane shape ABC is not drawn to scale.a = 30+30a = 60°b² = 3²+6²-2*3*6cos60b² = 45-18b = √(27)b = 3√(3) units.b is BC.(3√(3)/sin60) = (3/sinc)3sin60 = 3√(3)sincc = asi...
Calculating area red.Let x be the side length of the small square.a = ½(x) cm.b = x+ab = x+½(x)b = ½(3x) cm.It implies;½(x) ~ c½(3x) ~ xTherefore;1 ~ c3 ~ xCross Multiply.3c = xc = ⅓(x) cm.d = c+2√(1...
Calculating Length x.Notice.AC = BC.a²+a² = 2²2a² = 4a² = 2a = √(2) units.a is AC = BC.b = a-yb = (√(2)-y)y is the radius of the green circle.c = y+y+xc = (2y+x) units.Where c is equal to a.Calculati...
Calculating Area Red (square).Notice.The composite plane shape is not drawn to scale.Let x be the side length of the square.a = (8-x) units.It implies;a²+8² = 10²(8-x)²+64 = 100(8-x)² = 368-x = ±√(36...
Calculating x.a² = 6²+x²a = √(36+x²) units.a is the diagonal of the rectangle.b = ½(a)b = ½√(36+x²) units.Therefore, length x, the width of the rectangle is;6 ~ ½√(36+x²)x ~ 2Cross Multiply.12 = ½(x√...
Calculating Area Circle.Let x be the radius of the circle.a² = 4a = 2 m.a is the side length of the small square.b² = 16b = 4 m.b is the side length of the big square.c = (x-2) units.It implies;(x-2)...
