Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

Question

anonymous · Answer

Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 3π inches?
l = r(theta)
3pi = 4(theta) 
3pi / 4 = theta

Part 4: What is the coordinate point associated with this radian measure?
$$(\sqrt[-2]{2},\sqrt[2]{2})$$

Please help @oldrin.bataku @satellite73

anonymous · Answer

Just need someone to check answers

anonymous · Answer

@mathmate

mathmate · Answer

Part 3 is correct.
Part 4 depends on the interpretation of the movement of a chess clock.  It's been a long time since I used one.  I don't know if the hand turns clockwise (logical) or counter-clockwise ("like a unit circle").
Your answer is correct if the hand moves counter-clockwise.

anonymous · Answer

would $$(\sqrt[2]{2},\sqrt[-2]{2})$$
change it?

mathmate · Answer

As I said, your answer is correct if the hand of the clock moves counter-clockwise ("135 degrees like a unit circle").  I do not know if a chess-clock moves counter-clockwise or clockwise.  It is an interpretation of the question.

mathmate · Answer

At this link, the chess clock is shown to move clockwise. There is an ambiguity with the question. https://www.youtube.com/watch?v=14PmKfw_GSo