Till now 3 expressions with golden ratio and Archimedes constant

Special thanks to the Lord of Internet mathematics, Wolfram Alpha.

I have managed two more expressions combining golden ratio and Archimedes constant. They are

I have typed the above in Microsoft Word.

In total I have 3 expressions combining golden ratio and Archimedes constant. And one theory sorts expression combining golden ratio and Archimedes constant.

BHEL R&D department, here I come . . . . 😅😅😅

Have a nice day !!