In any map projection, you will get distortion because a sphere won’t perfectly map onto a 2D surface.
The Mercator Projection is very bad at preserving size but very good at preserving shape.
It’s bad at preserving size because at the poles (remember each pole is a single point), everything gets stretched out to be the entire width of the map, where as at the equator (the entire circumference of Earth) is the exact same width on that projection.
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