Sir Mike Ambrose is the author of the question.Let length AB = 2 units.Therefore;Side length of the square, x is;2x² = 2²x = √(2) units.It implies;Area square is;x²= √(2)²= 2 square units.Area green...
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 D, diameter of the ascribed half circle.Let r be the radius of the half circle.a = ½(7)a = 3.5 units.b²+a² = r²b² = r²-3.5²b = √(r²-12.25) units.c = 2bc = 2√(r²-12.25) units.cosx = 7/(2r)...
Sir Mike Ambrose is the author of the question.Let the side let of the square be 2 units.Therefore;Area square is;2²= 4 square units.It implies;Area R is;Area trapezoid with parallel sides 1 unit and...
Calculating R, radius of the circle.Let alpha be x.a² = 11²+37²-2*11*37cosxa² = 1490-814cosx --- (1).a² = 37²+26²-2*26*37cosxa² = 2045-1924cosx --- (2).Equating (1) and (2) to get alpha (x)1490-814co...
Calculating R, radius of the circle.a = 30+45a = 75°b = 180-75-60b = 45°8² = 2c²c² = 32c = 4√(2) units.sin30 = 4√(2)/dd = 8√(2) units.e = 2*45°e = 90°Therefore, R, radius of the circle is;2R² = (8√(2...
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...
Sir Mike Ambrose is the author of the question.Let the single side length of the square be 2 units.Therefore;Area square is;2²= 4 square unitsIt implies;Area R is;Area sector with radius 2 units and...
Calculating Length CD.a = 15-11.25 a = 3.75 m.b = atan(3/3.75)°c = 90-atan(3/3.75)c = 51.34019174591° Therefore, Length CD is;tan(51.34019174591) = 15/CDCD = 15/tan(51.34019174591) CD = 12 m.
Calculating Blue Area.Area blue is;Area sector with radius 10 cm and angle 2atan(½) - Area triangle with height 10 cm and base 10sin(2atan(½)) cm + Area sector with radius 5 cm and angle 2atan(2) - A...
