\"\"

\

Radius of small circle is \"\".

\

Radius of big circle \"\".

\

Draw the diagram for situation in the problem:

\

\"\"

\

Consider \"\" in triangle ODA.

\

\"\"

\

\"\".

\

Consider \"\" in triangle OFC.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

From (1) and (2):

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

\"\"

\

Substitute \"\" in equation \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

\"\"

\

\"\".