The task in your image is to convert the rectangular coordinates $(3, 0)$ into polar coordinates. Let's walk through the process step by step.

Conversion Formulae

1. Radius (r):
   The radius is calculated using the formula: $r = \sqrt{x^2 + y^2}$ For the point $(3, 0)$: $r = \sqrt{3^2 + 0^2} = \sqrt{9} = 3$

2. Angle (θ):
   The angle $\theta$ in polar coordinates is found using: $\theta = \text{tan}^{-1}\left(\frac{y}{x}\right)$ Since $y = 0$ and $x = 3$, the angle is: $\theta = \text{tan}^{-1}(0) = 0^\circ$

Final Polar Coordinates

Therefore, the polar coordinates for the point $(3, 0)$ are: $(3, 0^\circ)$

Let me know if you'd like further details on the process!

Here are some follow-up questions:

1. How are polar coordinates different from rectangular coordinates?
2. What would the polar coordinates be for a point in the second quadrant?
3. Can you convert polar coordinates back into rectangular coordinates?
4. How does the angle change when the point is in different quadrants?
5. How would the conversion change if the angle were in radians?

Tip: Always check the quadrant of a point when calculating the angle for polar coordinates!