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How did Eratosthenes determine the circumference of the earth quizlet?

How did Eratosthenes determine the circumference of the earth quizlet?

Eratosthenes measured the circumference of the earth by measuring the distance between two cities. Then he measured the angle of sunlight relative to the vertical on the summer solstice. The sun was overhead in Alexandria but seven degrees away from the vertical in Syene.

What is the measure of Earth’s circumference?

In 200 B.C. Eratosthenes estimated Earth’s circumference at about 46,250 kilometers (28,735 miles). Today we know our planet’s circumference is roughly 40,000 kilometers (24,850 miles).

What is Eratosthenes best known for?

Eratosthenes, in full Eratosthenes of Cyrene, (born c. 276 bce, Cyrene, Libya—died c. 194 bce, Alexandria, Egypt), Greek scientific writer, astronomer, and poet, who made the first measurement of the size of Earth for which any details are known.

How did Aristotle calculate the circumference of the earth?

By measuring the length of the shadow in Alexandria at noon on the Summer Solstice when there was no shadow in Syene, he could measure the circumference of the Earth! At Syene: The Sun is directly overhead, no shadows are cast at that moment.

How was the size of the Earth first estimated?

Measuring the Circumference of the Earth. More than 2,000 years ago Eratosthenes compared the position of the Sun’s rays in two locations to calculate the spherical size of the Earth with reasonable accuracy. Eratosthenes was born in the Greek colony Cyrene, now the city of Shahhat, Libya.

What are the actual direct measurements that Eratosthenes used to calculate the size of the Earth quizlet?

Eratosthenes hired a man to pace the distance between the two cities and learned they were 5,000 stadia apart, which is about 800 kilometers. He could then use simple proportions to find the Earth’s circumference — 7.2 degrees is 1/50 of 360 degrees, so 800 times 50 equals 40,000 kilometers.

When was the size of the Earth First calculated?

240 B.C.
By around 500 B.C., most ancient Greeks believed that Earth was round, not flat. But they had no idea how big the planet is until about 240 B.C., when Eratosthenes devised a clever method of estimating its circumference.

How did Eratosthenes calculate the approximate size of Earth?

Eratosthenes determined the earth’s size by observing known phenomena and applying basic arithmetic and geometry to them. Here’s how he did it. Eratosthenes’ methods were simple but effective. All he needed to know was the distance between two locations and what percentage of a circle this distance constituted.

What did Eratosthenes do?

Eratosthenes was a prominent Greek mathematician, astronomer and geographer who lived between 276 BC and 194 BC. He was born in what is now Libya, to parents who were probably Chaldean. Eratosthenes is famous for many things, including a mapping method that used latitudes and longitudes, and his accurate computation of the circumference of earth.

How do you measure the circumference of the Earth?

If you like, you can calculate the Earth’s circumference yourself. The formula for calculating the circumference of a sphere is 2 x pi x radius. So, the radius of the Earth is 6371 km.

Who was first estimated the circumference of the Earth?

What Is The Circumference Of The Earth? The circumference of the Earth is 40,075 km, and the Greek geographer Erastosthenes was the first person to estimate the Earth’s circumference nearly accurately.