Calculating Length x.a = ½(6)a = 3 units.a is the radius of the circle.b = (5-c) units.6² = d²+(5-c)²d² = 36-(25-10c+c²)d = √(11+10c-c²) units.e = ½(d)e = ½√(11+10c-c²) units.f = (3-c) units.Calculat...
Sir Mike Ambrose is the author of the question. a = ⅛*180(8-2)a = 135°a is the single interior angle of the regular octagon.2² = 2b²b = √(2) units.c = 2+bc = (2+√(2)) units.tand = (2+√(2))/2d = atan(...
Sir Mike Ambrose is the author of the question.Let CD = 1 units.It implies;DE = 1 units.AD = 2 units.AE = 2 units.1² = 2²+2²-2*2*2cosa1 = 8-8cosacosa = 7/8a = acos(⅞)°b = ½(180-acos(⅞))b = (90-0.5aco...
Calculating angle a.Let the length of the ascribed rectangle be 2 units.Therefore it's width is 1 unit.b² = 2²+1²b = √(5) units.b is the diagonal of the ascribed rectangle.tanc = 1/2c = atan(½)°tand...
Sir Mike Ambrose is the author of the question.Calculating Shaded Area ÷ Circle Area exactly in decimal.Let the side length of the equilateral triangle be 2 units.Calculating r, radius of the circle....
Calculating Blue Shaded Area.Blue shaded triangle area is;4tan(sin–¹(1÷3))= √(2) square units.
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...
