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Hi, I desperately need some help on my HL math IA.

I have got a topic, which is great-circle distance, and I don't know what to do next. I have two four-pages long papers on my hands that explain the theory and model of the calculation of great-circle distance, and I think the application of the theory could be calculating the distance between two places on earth, however I am not certain whether I should consider earth as a perfect circle or ellipse in my math IA.

I hope I will get insightful advices, thank you.

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