A nine-sided polygon is commonly called a nonagon. This polygon, which has nine edges, or vertices, is also called an enneagon. The term enneagon is preferable, but less popular than the name nonagon because the latter is simpler to spell and pronounce, according to Wolfram MathWorld.
The name enneagon is derived from the Greek word ?enneagonon,? which is a combination of two terms that mean nine and corner. The name nonagon, in contrast, has a mixed Roman and Greek origin. It is from the Latin word ?nonus,? which means ninth, added to the suffix ?gonon.? Both enneagon and nonagon are accepted terms to refer to a polygon with nine sides.