What is the noun form of word engaged?

The noun form of "engaged" depends on the context. Here are a few possibilities:

1. Engagement: This is the most common noun form of "engaged" and refers to the state of being engaged, particularly in a romantic relationship.

2. Engagement: This can also refer to the act of engaging in something, such as "The engagement of troops in the battle."

3. Engagement: It can also describe a commitment or involvement in something, such as "The company's engagement in social responsibility initiatives."

4. Engager: This noun refers to someone or something that engages, for example, "The speaker was an engaging entertainer."

The best noun form to use will depend on the specific meaning you want to convey.