Mathematics Question and Solution
a = ½(6√(3))
a = 3√(3) units.
b = (6-3√(3)) units.
cosc = 3√(3)/6
c = acos(½(√(3)))
c = 30°
d = 90-30
d = 60°
sin30 = e/6
e = 3 units.
It implies;
Area Blue is;
Area rectangle with length and width 6√(3) units and 6 units respectively - 2(area sector with angle 60° and radius 6 units + area triangle with height and base 3√(3) units and height 3 units respectively).
= 6*6√(3)-2((60π*36/360)+½(3√(3)*3))
= 36√(3)-2(6π+½(9√(3)))
= 36√(3)-(12π+9√(3))
= 36√(3)-12π-9√(3)
= 27√(3)-12π
= 3(9√(3)-4π) square units.
= 9.0662599613 square units.
= 9.07 square units to 2 decimal places.
