A coin has the image of \(\pi\) on one side and is being rolled along a horizontal surface. It starts at position \(A\), with the \(\pi\) symbol oriented correctly. The coin then rolls until it reaches position \(B\), which is \(9\) cm to the right of \(A\). If the image of \(\pi\) is now rotated \(90\degree\) counterclockwise for the first time, then what is the radius of the coin? Round your answer to \(1\) decimal. What orientation will the image of \(\pi\) be in after it has rolled a total of \(174\) cm?
Themes: Algebra, Geometry & Measurement