ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

Regular Shapes: All About Nonagons

Updated on December 10, 2011

What are Nonagons?

If you are reading this, you probably already know that enclosed shapes made up of line segments are referred to as polygons. Depending on the amount of sides they hold, they are given special names. Although there is no official name for a 9-sided polygon, the term "nonagon" is commonly used when talking about nine-sided polygons.

Fun Fact:

  • You can also write it as a 9-gon

Quick Overview of Nonagons

Property
Info
 
Sum of Angles
1260 degrees
 
Interior Angle
140 degrees
 
Exterior Angle
40 degrees
 
Nonagon sides
9 sides
 
Central Angle
40 degrees
 

Regular Nonagon

A regular nonagon
A regular nonagon | Source

Nonagon Interior Angles

If you recall, an interior angle is an angle inside a shape. For irregular nonagon (where sides are not equal and therefore those nonagon angles are not equal), there is no way to just know what the interior angle of a nonagon is other than to actually do some measuring.

But for regular nonagons, all of the nonagon interior angles have the same size: 140 degrees

How do I know this?

  • The total sum of angles within a polygon can be acquired by the formula (sides - 2) * 180.
  • For nonagons, this would be: (9-2) * 180 or 1260 degrees.
  • The sum of interior angles of a nonagon is therefore 1260 degrees.
  • So if the sum of interior angles of a nonagon is 1260, and there are 9 angles, then 1260/9 gives you the size of each angle in regular nonagons. 1260 / 9 is 140 degrees!

Exterior Angle of a Nonagon

As previously stated, for an irregular nonagon, there would be no way to know what the interior - and therefore exterior - angles are without doing some measuring. But for a regular one, it's really not that hard!

Exterior angles are supplementary (which means interior + exterior = 180 degrees). So if the interior angle is 140 degrees, the exterior angle of a nonagon has to be 40 degrees. 

Note: If you're doing the angle out of 360, it'd be 220 degrees. However, it's not generally proper to do exterior angles out of 360, even though you could draw a circle around it....

Central Angle of a Regular Nonagon

Since a regular nonagon has equal sides, the diagonals from the origin to the vertices have equal distance between them. What I mean is that there is an equal angle from the line segment that gone from the origin to one of the vertices to another line segment that goes to another vertex.

Since there are 360 degrees around the origin, and there are 9 line segements, each central angle is 360 / 9 = 40 degrees!

Comments

    0 of 8192 characters used
    Post Comment

    • profile image

      stephanie 4 years ago

      thanks so much!

    working

    This website uses cookies

    As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

    For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: "https://hubpages.com/privacy-policy#gdpr"

    Show Details
    Necessary
    HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
    LoginThis is necessary to sign in to the HubPages Service.
    Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
    AkismetThis is used to detect comment spam. (Privacy Policy)
    HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
    HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
    Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
    CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
    Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
    Features
    Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
    Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
    Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
    Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
    Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
    VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
    PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
    Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
    MavenThis supports the Maven widget and search functionality. (Privacy Policy)
    Marketing
    Google AdSenseThis is an ad network. (Privacy Policy)
    Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
    Index ExchangeThis is an ad network. (Privacy Policy)
    SovrnThis is an ad network. (Privacy Policy)
    Facebook AdsThis is an ad network. (Privacy Policy)
    Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
    AppNexusThis is an ad network. (Privacy Policy)
    OpenxThis is an ad network. (Privacy Policy)
    Rubicon ProjectThis is an ad network. (Privacy Policy)
    TripleLiftThis is an ad network. (Privacy Policy)
    Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
    Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
    Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
    Statistics
    Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
    ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
    Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)