a² = 6²+(0.5*6)²
a² = 36+9
a = √(45)
a = 3√(5) units.
Observing similar plane shape (right-angled) side length ratios.
3√(5) - (6+6)
3 - b
Cross Multiply.
3√(5)b = 12*3
b = ⅕(12√(5)) units.
b = 5.366563146 units.
c²+b² = a²
c²+(5.366563146)² = (3√(5))²
c² = 45-28.8
c = √(16.2)
c = 4.0249223595 units.
Therefore, shaded blue area is;
¼(6²)π-(0.5*4.0249223595*5.366563146)-(0.5*6*3)
= 9π-⅕(54)-9
= ⅕(45π-54-45)
= ⅕(45π-99) square units
= 8.4743338823 square units.
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