Understanding Polar Coordinates

In this section, we'll generate some numbers and plot them as Cartesian and polar coordinates.

Let's begin by implementing the following steps:

1. Generate angles between 0-360, in intervals of 15:

t <- seq(0, 360, by=15).

2. Define another variable - the radius r:

r <- 2.

3. Use qplot to plot the vectors in Cartesian coordinates (Plot1). What do you see? Write your answer as a comment in the code:

qplot(r,t)

Your first plot should look like plot 1.

4. Use qplot to plot the vectors in polar coordinates. What do you see? Write your answer:

qplot(r,t)+coord_polar(theta="y"). 

5. Use scales to change the labeling and make it look like plot 3. Here, we define the range from 0-360, with breaks of 30:

qplot(r,t)+coord_polar(theta="y")+scale_y_continuous(breaks=seq(0,360,30)). 

Refer to the complete code at https://goo.gl/RheL2G.

Plot 1 is as follows:

Plot 2 is as follows:

The final plot is as follows:

Various label formats are available, and you can change label formats as well. The following label formats are available:

• scales::comma_format()  adds commas, in order to make it easier to read large numbers.
• scales::unit_format(unit, scale)  adds a unit suffix and optionally, scaling.
• scales::dollar_format(prefix, suffix)  displays currency values, rounding to two decimal places and adding a prefix or suffix.
• scales::wrap_format()  wraps long labels into multiple lines.

We will combine all of the preceding commands to make a single plot.