Mathematics Question and Solution
Calculating Blue Area.
a = ½(2)
a = 1 unit.
a is the radius of the inscribed half circle.
tanb = 2/1
b = atan(2)°
c = 2b
c = 2atan(2)°
d = 180-c
d = 2atan(0.5)°
Blue Area is;
Area sector with with radius 1 unit and angle 2atan(2)° - Area triangle with height 1 unit and base sin(2atan(2)) units + Area sector with with radius 2 units and angle 2atan(0.5)° - Area triangle with height 2 unit and base sin(2atan(0.5)) units.
(2atan(2)π/360)-(0.5*sin(2atan(2)))+(2atan(0.5)π*2*2/360)-(0.5**2*2sin(2atan(0.5)))
= 1.10714871779-0.4+1.854590436-1.6
= 0.96173915379 square units.
