Calculating yellow area.
a = ½(10)
a = 5 km.
a is the radius of the inscribed circle.
tanb = 5/10
b = atan(½)°
c = 180-2b
c = (180-2atan(½))°
d² = 2(5²)-2(5²)cos(180-2atan(½))
d = 8.94427191 km.
e² = 5²+5²
e = √(50)
e = 5√(2) km.
f = 45-b
f = (45-atan(½))°
Therefore, area yellow is;
0.5*5√(2)*8.94427191sin(45-atan(½))
= 10 km²
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