There is no adjective in that sentence.
She twirled around the room happily, enjoying the music and the company of her friends.
Happy is an adjective. (I'd be happy to show you around) It also may form an adverb, (happily) or a noun, happiness.
The frisky little puppy ran happily around the yard.
Round is an adjective in that sentence.
A litter of playful puppies wiggled around the kitchen floor.
The subject of this sentence is litter. In this sentence puppies is the object of a preposition.
The adjective is colorful. The nouns are mom, lanterns, yard.
The stream wandered slowly around the meadow. Happily, I only wandered around the mall for about 40 minutes until I found you.
The two children did happily gyrate around the dragon that ate the deadly pirate. Gyrate means to whirl.
Please don't mess around in the kitchen, I just finished cleaning it.
The cat chased its tail around the room.
Graceful. You can use it in a sentence like: The graceful ballerina danced around the room like a swan gliding across the lake.