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12 hours ago · For example, if a circle has twice the diameter of another circle, it will also have twice the circumference, preserving the ratio . This definition of π implicitly makes use of flat (Euclidean) geometry ; although the notion of a circle can be extended to any curve (non-Euclidean) geometry , these new circles will no longer satisfy the formula π = C d {\textstyle \pi ={\frac {C}{d}}} .