Calculating R, radius of the small inscribed quarter circle.
a = 2*18
a = 36 units.
a is the radius of the ascribed quarter circle.
b = (18+R) units.
It implies;
R, radius of the small inscribed quarter circle is;
36² = R²+(18+R)²
1296 = R²+324+36R+R²
2R²+36R-972 = 0
R²+18R-486= 0
Resolving the above quadratic equation.
R = (9√(7)-9) units.
R = 14.8118 units.
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