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The circumference of the Earth at the equator is about 40,075 km. There are 24 time zones, so the average width at the equator for each is about 1,669.8 km. Each time zone is 15 degrees wide. The diameter of a 15 degree arc 1,669.8 km long is

1,669.8 * 15 / pi

which is about 7,972.7 km.

The Earth is not a sphere, and the diameter measured through the North and South poles is different, but measuring the Earth's diameter through the poles using time zones is not valid question.

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Q: What is the diameter of the earth in km if you measure by time zones?
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