Formal:
* The professor spoke animatedly about the historical significance of the artifact.
* The children animatedly discussed their plans for the upcoming school play.
Informal:
* He waved animatedly as we drove away.
* She described the incident animatedly, her hands gesturing wildly.
* The dog wagged its tail animatedly, eager to go for a walk.
Figurative:
* The leaves danced animatedly in the autumn breeze.
* The cityscape came alive, the lights twinkling animatedly in the night.
Note: "Animatedly" means "in a lively or spirited way." It's often used to describe someone's movement, speech, or expression.