# Introducing Polar Coordinates

This applet demonstrates some functions drawn using polar coordinates, which allow the plane to be mapped in terms of the length `r` of the line from the point to the **pole** (the centre point), and the angle `θ` that the line makes with the **initial line**, which is the line from the pole going to the right (the old positive `x`-axis). Just like the Cartesian Coordinate system, any point can be mapped in this way.

GCE Further Mathematics - Polar Coordinates - OCR FP2, Edexcel FP2

US Grade 11, Grade 12 - Pre-Calculus

Instructions below

## How to Use this Applet

This applet is designed to introduce you to graphs drawn on polar coordinates. There are several types of graph you can choose from the drop-down menu at the top.

The sliders on the right allow you to vary the angle `θ` and the zoom.

Checking the box "`π`-convention" limits the value of the angle `θ` from -`π` to +`π`. Checking the box "show negative r" allows negative values of the `r`, distance from the pole, to be drawn in green.

Play around and enjoy the beauty of the graphs you see.