Step 1 :Given the value of \(s = 82\) in radians.
Step 2 :Calculate the sine and cosine of \(s\).
Step 3 :Observe that \(\sin s = 0.31322878243308516\) and \(\cos s = 0.9496776978825432\).
Step 4 :Since both the sine and cosine of \(s\) are positive, the angle lies in the first quadrant.
Step 5 :Final Answer: The angle lies in the \(\boxed{first}\) quadrant.