Calculating r, radius of the ascribed quarter circle.
a² = 8
a = 2√(2) cm.
a is the side length of the inscribed square.
b² = 2a²
b² = 2*(2√(2))²
b = √(16)
b = 4 cm.
b is the diagonal of the inscribed square.
a² = c²+c²
2c² = (2√(2))²
c² = ½(8)
c = √(4)
c = 2 units.
It implies, r, radius of the ascribed quarter circle is;
2²+4² = r²
r² = 4+16
r = √(20)
r = 2√(5) cm.
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