Eratosthenes circumference equation. Let's take a closer .

Eratosthenes circumference equation. , the Greek astronomer Eratosthenes made the first good measurement of the size of Earth. 2) x D ) kilometers, with D being the distance between Alexandria and Syrene. Learn to calculate the Earth's diameter using Eratosthenes' methods. Use the simple formula employed by Eratosthenes to calculate the circumference of the Earth in stadia. This calculation yielded a figure of approximately 250,000 stadia. So he multiplied 500 by 50 to arrive at his estimate of the Earth's circumference: 25,000 miles. Let's take a closer With the circumnavigation of the globe and subsequent scientific calculations, the accepted value of the circumference of the earth returned from Ptolemy's calculation back to that of Eratosthenes. Around 250 B. 2 degrees is 1/50th of a full circle, Eratosthenes multiplied the distance by 50 to arrive at the Earth's total circumference. , another Greek philosopher, Eratosthenes, measured the circumference of the Earth using the following equation: (360° ÷ θ) x (s) In this calculation, (s) is the distance between two points that lie north and south of each other on the surface of the Earth. Jun 1, 2023 · Before starting to measure the Earth’s circumference, students should learn about Eratosthenes, his life, work, and the way he calculated the circumference of the Earth. May 27, 2024 · Using the relationship that 7. To obtain the results in kilometers rather than stadia, you must multiply by 0. He is best known for being the first person known to calculate the Earth's circumference, which he did by using the extensive survey results he could access in his role at the Library. Oct 19, 2023 · He calculated the total circumference of the Earth to be ( (360/7. In 240 B. Recognizing the curvature of the Earth and knowing the distance between the two cities enabled Eratosthenes to calculate the planet’s circumference. By noting the angles of shadows in two cities on the Summer Solstice, and by performing the right calculations using his knowledge of geometry and the distance between the cities, Eratosthenes was able to make a remarkably accurate calculation of the circumference of Earth. C. Eratosthenes method was very simple; he measured the length of a shadow from a vertical stick of a known height in two cities on the same day. The Earth’s circumference was first accurately measured more than 2,200 years ago by a Greek astronomer named Eratosthenes. This estimate was only 100 miles off the actual circumference of 24,900 miles! Eratosthenes will always be remembered for the calculation of the Earth's circumference circa 240 BC, using trigonometry and knowledge of the angle of elevation of the Sun at noon in Alexandria and Syene (now Aswan, Egypt). 184 (although the exact conversion factor is still disputed by scholars). 2° and got 50, which told him that the distance between Alexandria and Syene (500 miles) was 1/50 of the total distance around the Earth. Follow a simple and fun guide to measure the planet's circumference. This might come as a surprise for our younger readers, but throughout history, not everything that people learnt could be found on the Internet. . Mar 26, 2016 · Eratosthenes divided 360° by 7. Sep 7, 2017 · 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 What value do you get? Eratosthenes erected a pole in Alexandria, and on the summer solstice he observed that it cast a shadow, proving that the Sun was not directly overhead but slightly south. iddy il17k5 qwyf yi5g8 hlvxq wx4g yggq rsc frfyp qge