Calculating Area Blue Inscribed Circle.
Let it's radius be x.
a = ½(16)+x
a = (8+x) units.
b = (8-x) units.
c = (16-x) units.
It implies;
d²+x² = (16-x)²
d² = 256-32x+x²-x²
d = √(256-32x) units.
Calculating x.
√(256-32x)²+(8-x)² = (8+x)²
256-32x+64-16x+x² = 64+16x+x²
256-32x+64-16x = 64+16x
256 = 64x
32 = 8x
x = 4 units.
Therefore, area inscribed blue circle is;
πx²
= π(4²)
= 16π square units.
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