Calculating Area of the inscribed black circle.
Let a be the radius of the inscribed black circle.
b = (2+a) units.
c = (4-a) units.
It implies;
Calculating a.
(4-a)² = (2+a)²+2²
16-8a+a² = 4+4a+a²+4
16-8a = 8+4a
8 = 12a
a = ⅔ units.
Again, a is the radius of the inscribed black circle.
Area inscribed black circle is;
πa²
= π*⅔*⅔
= ⅑(4π) square units.
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