Calculating Area Green Total.Area green is;Area triangle with height 8 units and base 8√(3) units - Area sector with radius 8 units and angle 30° + Area sector with radius 8 units and angle 60° - 2(a...
Sir Mike Ambrose is the author of the question.Area blue total, exactly in cm² decimal is;Area trapezoid with parallel sides (80/7) cm and ((80/7)+21.4285714284) cm, and height 20 cm - Area trapezoid...
Sir Mike Ambrose is the author of the question.Side length of the square is;Let it be x.x = √((16*34)-144)x = √(400)x = 20 cm.Therefore;Area Orange exactly in decimal cm² is;Half area square with sid...
Calculating Area Rectangle.Let BC be x.a²+x² = 15²a² = 225-x²a = √(225-x²) units.a is CD.15 ~ x5 ~ bCross Multiply.b = x/3 units.15 ~ √(225-x²)5 ~ cCross Multiply.c = ⅓√(225-x²) units.d = x+bd = x+(x...
Sir Mike Ambrose is the author of the question.Calculating Shaded Area ÷ Green Area to 2 decimal places.Let the side of the regular pentagon be 1 unit.a = 108-90a = 18°b = 180-108-18b = 54°(1/sin54)...
Calculating Area Green ÷ Area Red.Let 2 units be the length of the ascribed rectangle.Let x be the radius of the green inscribed circle.Let y be the radius of the red inscribed half circle.Notice.a =...
Calculating x (AD) the diameter of the half circle.a² = 2²+11²+2*2*11cosya² = 125+44cosy --- (1).a² = x²+7²-2*7*xcosya² = x²+49-14xcosy --- (2).Where a is AC.cosy = 7/x --- (3).Equating (1) and (2).1...
Calculating x, angle CED.Notice.AB = DE, and BC = CD.Let BC = CD = 1 unit.a = 180-100a =. 80°a is angle ACB.b = 180-65-ab = 180-145b = 35°b is angle BAC.(c/sin80) = (1/sin35)c = 1.71695992129 units.c...
Calculating length AB.a² = 6²+4²-2*4*6cos60a² = 52-24a = √(28) units.a = 2√(7) units.a is BD.(√(28)/sin60) = (4/sinb)b = 40.8933946491°b is angle CBD.c = 60-bc = 19.1066053509°c is angle ABD.d = 180-...
Calculating Area Yellow.a = ½(180-30)a = 75°2² = b²+1²b² = 4-1b = √(3) units.Yellow Area is;2(Area triangle with height √(3) units and base 1 unit + Area sector with radius 2 units and angle 60° - Ar...
