I chased her until she caught me.
The dawn chased the night away.
The cat chased the bird to no avail.
The maniac chased me home.
The predator chased after its prey.
"The boy chased the dog" is a complete sentence. The verb, chased, is transitive. The object is "dog".
The crotchety old man chased the kids out of his backyard.
He doggedly chased his kid because he wanted to steal his lunch
The hounds chased the fox for miles, but lost his scent when he crossed a stream.
The activists reassembled to the garden square after they had been chased at the CBD by the police.
The action NEVER performs the subject. The subject can perform the action -- this is an active sentence has the word order S V O eg The dog chased the cat. In a passive sentence the action is performed on the subject. The cat was chased
In the example sentence, "The clown chased a dog around the ring.", the word 'ring' is a noun, a word for a thing that functions as a stage for a performance in a circus.
It is active. Hunter chased. If the sentence went like this: The lion was chased by the hunter, then it would be passive.
The dog chased its tail. Its is the possessive but does not need an apostrophe. It's, with the apostrophe, means it is.
That description of the accident was grizzly. The grizzly bear chased the hiker through the woods.