Mathematics Question and Solution
Calculating Blue Area Total.
tana = 10/5
a = atan(2)°
b = 180-a
b = (180-atan(2))°
(10/sin(180-atan(2))) = (5/sinc)
c = 26.5650511771°
d = 180-(180-atan(2))-26.5650511771
d = 36.8698976458°
It implies;
Area Blue (1) is;
(36.8698976458π*10*10/360)-(0.5*10*5sin36.8698976458)
= 32.1750554396-15
= 17.1750554396 cm²
e = (½*10*5)-Area Blue (1).
e = 25-17.1750554396
e = 7.8249445604 cm²
It implies;
Area Blue (2) is;
10²-(¼*10*10π)-e
= 100-25π-7.8249445604
= 13.6352390999 cm²
Therefore, Blue Area Total is;
Area Blue (1) + Area Blue (2)
= 17.1750554396+13.6352390999
= 30.8102945395 cm²
