A geometry problem by Harshi Singh
Given that the radius of larger circle is \(R =2\), find the radius of smaller circle, i.e. \(r=?\)
Details and assumptions:-
- The smaller circle is tangent to :-
\(1)\) The arc which subtends an angle of \(60^\circ\) in the opposite arc.
\(2)\) The two radii that join endpoints of the arc to the center of the circle.
- Round your answer to 2 decimal places.