Answer:
C will be the rightful answer
2.80 is more than 2, i would round it.
So sorry if this is wrong :(
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

Finally, the exact value of the position of the rider after the carousel rotates
radians is:

Choice A is false because they are rounding to the nearest tenth (one decimal place) and not nearest hundredth (two decimal places)
Choice B is false as well because 3.825 should round to 3.83. The 5 at the end tells you to round up.
Choice C is false too. The value 3.824 should round to 3.82. Not sure how they got 3.81, so it seems like a deliberate trick question or silly answer.
Choice D is true. The three decimal values are rounded properly to the correct number of decimal places.
Therefore choice D is the answer