Mathematics Question and Solution
tana = 3/4
a = atan(3/4)°
b = atan(4/3)°
sin(atan(3/4)) = c/4
c = 2.4 units.
Area Blue is;
Area semi circle with radius 2.5 units - Area sector with radius 2 units and angle (180-2atan(3/4))° + 2(Area triangle with height 2 units and base 2sin(180-2atan(3/4)) units) - Area sector with radius 1.5 units and angle (180-2atan(4/3))° + 2(Area triangle with height 1.5 units and base 1.5sin(180-2atan(4/3)) units) + 2(Area triangle with height 2 units and base 2sin(2atan(3/4)) units) + 2(Area triangle with height 1.5 units and base 1.5sin(2atan(4/3)) units) - Area sector with radius 2 units and angle 2atan(3/4)° - Area sector with radius 2 units and angle 2atan(3/4)°
= 9.8174770425-3.709180872+3.84-1.4478774948+2.16+3.84+2.16-2.5740044352-2.0864142405
= 12 square units.
