A regular 18-sided polygon is rotated with the center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?

Question

Mathematics

Rene Howard

25 November, 12:38

A regular 18-sided polygon is rotated with the center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?

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Answers (2)

Know the Answer?

Todd Fernandez · Answer 1

360/18=20 therefore the smallest degree of rotation would be 20

Rebecca Downs · Answer 2

It will be easier to explain how to solve this question in a square. If you rotate 4-sided square from the centre, you need to rotate it 90 degrees. The formula for this would be: 360 ° / the side count. In a square, it would be 360° / 4 = 90°.

In 18-sided polygon, the calculation would be: 360° / 18 side = 20°