Dancing through the fire
Fire hosts a chock load of imagery and hidden context. For one, a popular trick for circus lions/tigers is to jump through a ring of fire. Figuratively, she isn’t afraid to do something so dangerous; she embraces the thrill.
Along with that, as shown in the first teaser video for “Roar”, fire stands for rebirth. She’s reached another stage in her life where she feels more in control with her life, due to the fact that this boy is no longer part of it.
Finally, there’s the idea of having fiery personality. In a positive light, Katy is an inferno spreading her fire around by singing a thematic song about empowerment. On the flip side, her fire will “burn” anybody who messes with her (this is explained further in Dark Horse).
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