Mathematics Question and Solution
Calculating Shaded Area Blue.
Notice.
8 cm is the side length of the ascribed square.
Therefore;
½(8) = 4 cm is the radius of the both inscribed half circles.
tana = 4/8
a = atan(½)°
b = 2a
b = 2atan(½)°
tanc = 8/4
c = atan(2)°
d = 2c
d = 2atan(2)°
Area Blue is;
Area sector with radius 8 cm and angle 2atan(½)°-Area triangle with height 8 cm and base 8sin(2atan(½)) cm+Area sector with radius 4 cm and angle 2atan(2)°-Area triangle with height 4 cm and base 4sin(2atan(2)) cm-2(Area quarter circle with radius 4 cm-Area isosceles triangle with equal lengths 4 cm)
= 29.6734469761-25.6+17.7143794847-6.4-25.1327412287+16
= 6.2550852321 cm²
