Calculating Area of the inscribed half circle.
Let the radius of the inscribed half circle be a.
b² = 2a²
b = √(2)a units.
It implies;
1² = a²+b²
1 = a²+(√(2)a)²
1 = a²+2a²
a² = ⅓
a = ½√(3) units.
Again, a is the radius of the inscribed half circle.
Therefore, area inscribed half circle is;
½(a²)π
= ½(⅓√(3))π
= ½*⅓*π
= ⅙(π) square units.
= 0.5235987756 square units.
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