1. formal agreements to marry someone
2. appointments or commitments to meet someone or do something
3. the act of participating or becoming involved in something

Examples

• The couple announced their engagement at the family dinner.
• She had three business engagements scheduled for Tuesday.
• The teacher praised the students’ active engagement in class discussions.
• The general reviewed reports from recent military engagements.
• Their engagement party will be held next month.
• He canceled all his social engagements to focus on work.
• Community engagement is essential for the project’s success.