This type of puzzle is commonly called a 'Word Wheel' in many publications. Here is an example using 10 letters (rather than 9) in the July 2024 Puzzle Selection magazine (UK):
Here the central letter is 'I' and the surrounding ones T, A, I, M, O, N, I, T and G. The instructions at the top read: See how many words of four or more letters you can make from the letters given in the wheel. Each word must include the central letter and other letters should only be used once. See if you can find the ten-letter anagram.
You can also find playable online versions of this puzzle. At lovattspuzzles.com they are called 'Wheel Words' (playable here), although most other sites appear to use the same 'Wheel Words''Word Wheel' title as the folks at Puzzle Selection.
