AmCharts offers a build-in "export as image" feature, however it is quite slow and exports charts as a bitmap image only. Incase you don't need this functionality to be public and use it only for your own needs, you can use third party software, such as PDF creator to export charts as vectors or bitmap images. This will make exporting process much faster, and having charts as vectors will allow you to produce high resolution prints without loosing quality.
First, you should download and install PDF creator (it's free): http://sourceforge.net/projects/pdfcreator (it is installed as an additional "PDFCreator" printer), restart your computer.
Now, open web page with your chart with Internet Explorer (unfortunately I couldn't make FireFox to work with this) . If you need a bitmap image, you can use browsers "print" function (press ctrl+P). In a popup window, select "PDFCreator" as your printer and click "Print". Another popup window will open, where you can enter filename and some other information. After you finished, click "Save". You should get a PDF file with your chart as bitmap image.
To export chart as vector, you should right click somewhere on a chart, choose "Print" and then do the same as described above. There are two things you should know when exporting chart as vector:
Transparency and gradients are not supported (the chart will look like all alphas are set to 100);
You should set chart size in your HTML to original or less then original size of swf, which is 520 width and 400 height. Otherwise some of your chart may be cut. This is done in this line of your HTML file:
var so = new SWFObject("amcolumn/amcolumn.swf", "amcolumn", "520", "400", "8", "#FFFFFF");
PDF creator offers a lot of ways to export different content - you can have vector PDF, EPS, PS or bitmap TIFF, JPG, PNG, BMP. PCX images.
This is not the only way to do this. Here is a good resource about it: http://www.joshuadavis.com/workshop/print/
If you check the page mentioned above, you will see that you can do this with Mac too, however you'll have to downgrade Adobe flash player to v.8, as for some strange reasons export to vectors stopped working since v.9.