Mathematics Question and Solution
Calculating Green Area.
tana = 6/3
a = atan(2)°
b = 180-a
b = (180-atan(2))°
(6/sin(180-atan(2)) = (3/sinc)
c = 26.5650511771°
d = 180-sin(180-atan(2))-c
d = 36.8698976458°
e = 2d
e = 73.7397952916°
e' = 90-e
e' = 16.2602047084°
f² = 2(6)²-2(6)²cos16.2602047084
f = 1.69705627486 units.
g = 90-2atan(½)
g = 36.8698976458°
sin(0.5*36.8698976458) = (0.5*1.69705627486)/h
h = 2.68328157302 units.
Area green is;
(½*6²sin36.8698976458)-(½*2.68328157302²sin36.8698976458)
= 10.8-2.16
= 8.64 square units.
