Step 1: Free download FLV to WMA Converter and install it.
The interface is like the following:

Condition1: you already have flv video files on your computer.
1. Click file button, choose the flv video you want to convert
2. In output format, Choose WMA (Audio only).
3. Click start convert FLV to WMA.
Condition2: Want to directly convert FLV to WMA online.
Here we take youtube for example, if you want to convert FLV from youtube to WMA, it is very simply.
1. Click URL Button, copy the url to this FLV to WMA to Converter, for example: copy the url
http://www.youtube.com/watch?v=Xz3CkM0QdK4&feature=dir
2. In output format, Choose WMA (Audio only).
3. Click Converte to start convert FLV to WMA. For More Information See this Guide: How to download youtube videos
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