How many 250 mile radius circles does it take to cover main land US?

Why would I need to know this you might wonder? Well, I have an access to an API that allows me to query data from a 250-mile radius around a given location. And I was wondering how many calls one would need to make to extract the whole US. Turns out, not that many - only 20 ish! This is great because making 20 calls every day is not suspicious!

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