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Elizabeth (New Jersey USA)

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It was 2,200 years ago when a librarian in Egypt came up with a way to measure the earth’s circumference.
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He knew the Earth was round, but wanted to know just how big it was.
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On May 1st, 2006 Ms. Murphy’s 6th grade class replicated Eratosthenes’s experiement coming up with surprisingly accurate results.
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Westminster was one of 152 classes around the world participating in an online project run by CIESE at Stevens Institute of Technology.
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On the following day the students in their groups drew scale drawings of their gnomon (or measuring stick) and shadow so they can determine their sun angle.
2007-elizabeth-06.jpg The flag pole group came up with the most accurate sun angle measurement.

The sun angle is also the measurement of the central angle of the earth.
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The distance from Westminster and the place on the earth where the sun castes no shadow on May 1 is 4,041 km.
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Since there are 360 degrees in the rotation of an angle around circle there will be approximately 10 "slices" with a measurement of 36.3 degrees.

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This means that the group came up with a circumference of 4041 * 10 or approximately 39,965 km which is only off by 1% from the actual measurement. That’s pretty good measuring using only shadows!





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by Eric Vayssié last modified 2007-12-21 22:06
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