Rectangular & Polar Coordinates

This applet was made to allow students to explore the connection between polar and rectangular coordinates.
1. Suppose that Point A (your house) is located at (4,5) in rectangular coordinate system. How would you direct your best friend to your house if you could only use the polar coordinate system? 2. List two advantages of the polar coordinate system and two advantages of the rectangular coordinate system. 3.Suppose I told you that my polar coordinates were (5.83, 1.03 rad), what would be my rectangular coordinates. Make a conjecture on the connection between polar coordinates and rectangular coordinates.