Convert the given rectangular coordinates into polar coordinates. \[ (-3,2)=(3.61,[?]) \] Round your answer to the nearest hundredth. Report theta in radians.

To find the polar coordinates, we need to calculate the angle \(\theta\) using the arctan of the y-coordinate divided by the x-coordinate. For the point \((-3, 2)\): \[ \theta = \tan^{-1}\left(\frac{y}{x}\right) = \tan^{-1}\left(\frac{2}{-3}\right) \] This gives us an angle in the second quadrant because the x-coordinate is negative and the y-coordinate is positive. To adjust for the second quadrant, we add \(\pi\) to the angle from arctan: \[ \theta \approx \tan^{-1}(-0.6667) + \pi \approx 2.52 \, \text{radians} \] So, rounding to the nearest hundredth, the polar coordinates of \((-3, 2)\) are: \[ (-3, 2) = (3.61, 2.52) \]