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Eratosthenes circumference formula

WebThe circumference of the Earth can be found by two methods. Method 1: Earth's circumference can be found out by using the geometric formula that was used over 2,000 years ago. Eratosthenes, the head librarian in Alexandria, Egypt, in 200 B.C. estimated the earth's circumference using the following method. WebFeb 3, 2024 · So using Eratosthenes own estimate for the circumference of the Earth, and the equation above rearranged with basic algebra to solve for radius ( r ), we get: Once again, depending on the length of the stade …

Eratosthenes - Wikipedia

WebJan 11, 2024 · Eratosthenes did the measurement and found the angle was 7.2°, which meant central angle 𝜃 was also 7.2°. That angle, 7.2°, is 1/50 of a complete circle: … WebDec 27, 2024 · Eratosthenes hired a man to pace the distance between the two cities and learned they were 5,000 stadia apart, which is about 800 … rich lenders personal loans https://stealthmanagement.net

How Eratosthenes measured the Earth

WebIf we accept the account of Strabo that Eratosthenes measured the circumference of the earth as 252,000 stadia, the circumference would be 24,662 miles, and the polar … WebNotation: Some formulas you’ll need (r = radius of circle / sphere) Circumference of a Circle: Volume of a Sphere: Question 1: What is the radius of the Earth? Use Eratosthenes’ estimate for the circumference … WebCalculation. Eratosthenes used the angular difference in latitude of two points on the same meridian and the corresponding linear distance between the points to determine the distance on the surface of the Earth per … richlen properties richards bay

Eratosthenes’ Determination of Earth’s Circumference

Category:Eratosthenes Calculation of the Circumference of the …

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Eratosthenes circumference formula

Eratosthenes - Wikipedia

WebOct 31, 2024 · The Earth’s circumference was first accurately measured more than 2,200 years ago by a Greek astronomer named Eratosthenes. Eratosthenes method was very … WebJul 3, 2024 · Eratosthenes of Cyrene (c. 276 BCE–192 or 194 BCE) was an ancient Greek mathematician, poet, and astronomer who is known as the father of geography.Eratosthenes was the first person to use the word "geography" and other geographical terms that are still in use today, and his efforts to calculate the …

Eratosthenes circumference formula

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Web(Use the Sieve of Eratosthenes method). Solution: Let us first write the numbers from 1 to 20. Now, exclude 1 since it is not a prime nor a composite number. In the next step, encircle 2 and cross the multiples of 2 (4, 6, 8, 10, 12, 14, 16, 18, 20) Encircle 3 and cross the left multiples of 3 (9, 15) 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 …

WebEratosthenes used this method to calculate the circumference of the Earth, a method that assumed the Earth is Spherical and used the mathematical properties of spheres and … WebOct 23, 2011 · The equation for the circumference of a circle can be written in two ways: C = 2πr. C = πd. Where: r represents the radius of the circle, and d represents a circle's diameter. Recall that the radius is the …

WebThe measurement of Earth's circumference is the most famous among the results obtained by Eratosthenes, [13] who estimated that the meridian has a length of 252,000 stadia (39,060 to 40,320 kilometres (24,270 to … WebJan 14, 2024 · Eratosthenes correctly developed a formula for calculating the Earth’s circumference, but his estimate included multiple errors. For example, the ancient Greek unit of measuring length, “stadion”, was …

WebIn the mid-20th century we began launching satellites into space that would help us determine the exact circumference of the Earth: 40,030 km. But over 2000 ...

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. richlen matthew m mdWebApr 2, 2024 · Eratosthenes measured Earth’s circumference mathematically using two surface points to make the calculation. He noted that the Sun’s rays fell vertically at noon … rich lens filtersWebFeb 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 richlen matthew md wiWebThe circumference of the Earth around the poles is now measured at around 40,008 km. Eratosthenes result is not bad at all. Very interesting is that the measurement of the … red raven levittownred raven closedWebOct 22, 2024 · (C = 2πr) With this information, Eratosthenes inferred that the Earth's radius was 6366 km. Both of these values are very close to the accepted modern values for the Earth's circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. rich lens leaving channel 6http://www.mpoweruk.com/Eratosthenes.htm rich lemon cake recipes