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The carbon cycle is the cycle in which carbon is exchanged among the biosphere, pedosphere, geosphere, hydrosphere, and atmosphere of the Earth. Hope this helped! Brainliest is always appreciated.
The Carbon Cycle is, well in short, how carbon cycles.

It's much more complex than that, however; it goes through many spheres such as the biosphere, pedosphere, geosphere, hydrosphere, and atmosphere and is, in a sense, similar to the water cycle. 

Carbon in the carbon cycle is increased through fossil fuels as well as deforestation which in turn began to affect the earth and its oceans and climates. 

Hope this helps!