Top 10.720

Orange / Green = 26 / 27

X = 14.1421356237

X = LM = 44.283179651

Shaded = 7.07254079757

Orange = 19.1997058378

Shaded Fraction = 1 / 3

Radius R = 12.5 = 25 / 2

Radius R = 2.61764843578

If R is a Slider Value between 2.1 and 2.8

Another Approach

Radius R = 8

Fraction = 0.388533241884

Elaborated