Polygon Profiles


Sum of exterior angles = \( 360^{\circ} \) (always true for any polygon)







This is a visual aid about the properties of regular polygons designed to be projected onto a whiteboard for whole class exposition.

Click a numbered blue button above to see the regular polygon with that number of sides.

Angles that are not whole numbers are given to one decimal place.

See why the sum of the exterior angles sum to 360 by clicking the Angles Explorer button.

Draw your own irregular polygons by clicking on the Geometry Toolbox button.

Find a formula for the number of diagonals of a polygon with the help of the Mystic Rose.

 

Featured Activity

Newsletter

Newsletter

The Transum Newsletter for June 2025 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

Here is a video designed to help you understand the size of polygon angles:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Suggested

Polygon People

Polygon People

Name the polygons and other geometrical shapes that make up the Polygon People.

The short web address is:

Transum.org/go/?Num=651

Suggested

Polygons

Polygons

Name the polygons and show the number of lines and order of rotational symmetry.

The short web address is:

Transum.org/go/?Num=30

Suggested

Polygon Angles

Polygon Angles

A mixture of problems related to calculating the interior and exterior angles of polygons.

The short web address is:

Transum.org/go/?Num=443

Suggested

Polygon Properties

Polygon Properties

Connect the names of the polygons with the descriptions of their properties.

The short web address is:

Transum.org/go/?Num=441

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