Title: Polar Coordinates

Each point in the polar coordinate system can be described with the two polar coordinates, which are usually called r (the radial coordinate) and θ (the angular coordinate, polar angle, or azimuth angle, sometimes represented as φ or t). The r coordinate represents the radial distance from the pole, and the θ coordinate represents the anticlockwise (counterclockwise) angle from the 0°.

For example, the polar coordinates (3, 60°) would be plotted as a point 3 units from the pole on the 60° ray.

Converting between polar and Cartesian coordinates

From polar to cartesian coordinates.

Example 1:

Convert (3, )  into polar coordinates

Solution:

From cartesian to polar coordinates.

Example 2:

Convert (-1,-1) into polar coordinates

Solution:

Circle:

   This is a circle of radius and center (a, b).

If you need homework help in this math area you can send me your problem.

You will receive the solution completely for FREE within 7 days. I will publish your problem and solution on this site. Also, you will receive the solution via email.