Olympia is about 8 times smaller than Birmingham.

Birmingham (map shows its 87 named neighbourhoods; the area covers the whole city) is approximately 381 sq km, while Olympia is approximately 47 sq km, making Olympia 12.39% the size of Birmingham.
Tip: This to-scale comparison of Birmingham vs. Olympia uses the Mercator projection, which distorts the size of regions near the poles.
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