Question

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.

Answer 1

Are these right?

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?
\[(\sqrt[-2]{2},\sqrt[2]{2})\]

@satellite73 @mathstudent55

Answer 2

@satellite73 just need someone to check my answers

Answer 3

@amistre64

Answer 4

@oldrin.bataku

Answer 5

the x value is r cos(theta) and the y value is r sin(theta)
where theta = 135 deg (or 3 pi/4 radians) and r is 4 inches
you get
4 cos(135), 4 sin(135)
or
\[ ( 4 \cdot -\frac{\sqrt{2}}{2} , 4 \cdot\frac{\sqrt{2}}{2} ) \\
=(-2 \sqrt{2}, \ 2 \sqrt{2})

\]
your version has small 2's e.g. \( \sqrt[-2]{2} \) which means something different. You just want to multiply.