Exact enclosed area R.It is;Area sector with radius 2 units and angle (90-2tan–¹(½)) - Area sector with radius 1 unit and angle (180-4tan–¹(½)) + Area isosceles triangle with two equal lengths 1 unit...
Calculating Green Area : Red Area.Let x be the red square side length.Let 2 units be the green square red length.Area green is;2²= 4 square units.Calculating x.a = (2-x) units.b = 90-60b = 30°tan30 =...
Calculating Angle x.Let 2 units be the radius of the ascribed quarter circle and a be the radius of the inscribed circle.Calculating a.b = (2-a) units.It implies;2a² = (2-a)²2a² = 4-4a+a²a²+4a-4 = 0(...
Calculating Length EF.Let x be EC = CH, radius of the small inscribed circle.a = (20-x) cm.tanb = 10/20b = atan(½)°c = ½(90-2atan(½))c = ½(atan(2)-atan(½))c = 18.4349488229°Calculating x, radius of t...
Calculating Area Green Inscribed Square.Let x be the side length of the green square.a² =2x²a = √(2)x units.a is the radius of the ascribed half circle.b² = (√(2)x)²+x²b² = 2x²+x²b = √(3)x units.c =...
Calculating radius of the largest half circle and area yellow.a = 2+3a = 5 units.b²+3² = 5²b = √(16)b = 4 units.c = 2+b+3c = 2+4+3c = 9 units.Where c is the length or base of the rectangle.d = ½(c)d...
Calculating Area Green.Notice.The opposite angles are congruent.Let them be x each.a = (360-x)°Calculating x.½(a) = x½(360-x) = x360-x = 2x3x = 360x = 120°b² = 9²+6²-2*9*6cos120b = 3√(19) units b = 1...
Notice.Three Congruent Half Circles With Area 72 cm² Each.Calculating Area Blue.Calculating r, Radius of the half circle.½(22/7)r² = 72Where π = 22/7(11/7)r² = 7211r² = 504r = √(504/11)r = 6.76891289...
Calculating Area Blue.Blue area is;Area circle of radius 3cm - 2(area circle of radius 1cm) + area rectangle with length 6cm and width 4cm - 2(area square with single side length 1cm) - area circle o...
Calculating Angle x.Let the single side length of the regular pentagon be 4 units.Therefore angle x degree will be;sinx = (2/4)sinx = ½Therefore;x = sin–¹(½)x = 30°
