How to Graph Polar Equations

Understand how polar equations work., Make a table with values of the angle and radius., Plot the various (r,θ) points as found in the table., Join the plotted points with a smooth curve and you're done!

5 Steps 1 min read Medium

Step-by-Step Guide

  1. Step 1: Understand how polar equations work.

    Coordinates in polar equations are of the form (r,θ), where r represents radius and θ represents angle.

    This means you rotate θ radians around and go out r units.
  2. Step 2: Make a table with values of the angle and radius.

    Take any random values of θ (around ten values would suffice) and calculate r against each of them using the relationship given between r and θ.

    This will help you plot them out on a graph easier, because you can just refer to a table instead of having to come up with coordinates in your head. , The LifeGuide Hub How to Plot Polar Coordinates will be helpful. ,
  3. Step 3: Plot the various (r

  4. Step 4: θ) points as found in the table.

  5. Step 5: Join the plotted points with a smooth curve and you're done!

Detailed Guide

Coordinates in polar equations are of the form (r,θ), where r represents radius and θ represents angle.

This means you rotate θ radians around and go out r units.

Take any random values of θ (around ten values would suffice) and calculate r against each of them using the relationship given between r and θ.

This will help you plot them out on a graph easier, because you can just refer to a table instead of having to come up with coordinates in your head. , The LifeGuide Hub How to Plot Polar Coordinates will be helpful. ,

About the Author

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Alice Ross

Enthusiastic about teaching creative arts techniques through clear, step-by-step guides.

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