WebEratosthenes understood that if he could determine the distance between Alexandria and Syene, he would merely have to multiply that distance by 50 to find the circumference of Earth! Here's where things get a bit tricky. Eratosthenes had the distance between the two cities measured. His records show that the distance was found to be 5,000 stadia. http://www-personal.umich.edu/~copyrght/image/books/Spatial%20Synthesis/Eratosthenes/
Eratosthenes
WebSep 7, 2024 · Calculate the circumference of the Earth using this equation: Circumference = 360 x distance between your city and the equator / angle of shadow that you measured … WebFeb 28, 2011 · So if the length of the “slice” is about 2400 km and there are about 18 slices then the projected circumference is 2400 x 18 = 43,200 km which is about an 8% error since the average circumference is 40,008 kms. (more precisely, it is 2404 km times 17.7 “slices”). Extension Eratosthenes Experiment Bonus Questions ge healthcare dryer
5.4: Measuring the Earth with Eratosthenes - Physics …
WebEratosthenes calculated the distance between Alexandria and Syene using records involving camel caravans. The distance he used was 5000 stadia. Thus, the circumference of the Earth is 250,000 stadia, which translates to somewhat less than 25,000 miles (depending on how ancient units convert to modern units). WebApr 18, 2024 · When Eratosthenes measured the Earth's circumference, he provided 250, 000 stadia as its measure equal to about 25, 000 miles. Since the radian is a dimensionless number, the radian couldn't have been part of his original calculations. WebSep 4, 2024 · If you cut the earth in half, the earth's great circle will obviously have 360 degrees, and the circumference of that circle (i.e. the total length of its perimeter) could be divided up into equal bits of whatever length. Eratosthenes knew that the distance between Syene and Alexandria was 7.2 degrees along the surface of the earth. dcs newark