c21c8033-146d-4d1c-92df-578b34b7a169 3 4 5 decimal

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Goat function x Goat 21 x 2^2 / - asin * 2 x 2^* x 2 / asin * + x 2^4 x 2^- (* sqrt + :

"Goat Radius" ►  Mathematica certifies 9 decimals ... Mathcad Given/Find  ►  1.15872847301812 G 21 x 2^2 / - asin * 2 x 2^* x 2 / asin * + x 2^4 x 2^- (* sqrt + π x 2^* - 0 ≡ x 1.15 1.2 solve : 1.15872847301812

plot x Goat π x 2^* G 8 G 4 - 22 mat 31 sys :

Goat Radius

plot

From rough [1,2] ... 1.1587
reguess the range  [1.15,1.2] G Goat π G 2^* - 0.00000000000001

G 21 x 2^2 / - asin * 2 x 2^* x 2 / asin * + x 2^4 x 2^- (* sqrt + π x 2^* - 0 ≡ x 12 solve : 1.1587