A regular 18-sided polygon is rotated with the center of rotation at its center. What is the smallest degree of rotation needed

Question

Anna71 [15]

3 years ago

8

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?

Mathematics

2 answers:

faltersainse [42] · Answer 1 · 2022-02-19T13:48:28+03:00

faltersainse [42]3 years ago

8 0

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

dem82 [27] · Answer 2 · 2022-02-19T11:29:31+03:00

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°