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Pin On 7th Grade Math Common Core

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Geometry Introduction To Circles Radius Diameter Circumference And Area Of A Circle Youtube

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How Eratosthenes Determined The Size Of Earth Using Trigonometry Mathematician Surface

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Biruni s stated radius of 6335 725 km is also very close to the original value.

Circumference of earth in m math. Historians have yet to figure out the true length of a single stadia but popular estimates put it around 160 meters. Total circumference of the earth 360 7 2 x d kilometers the unit of measurement that was popular in greece at the time was stadia. Eratosthenes divided 360 by 7 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. This estimate was only 100 miles off the actual circumference of 24 900 miles.

Click here to get an answer to your question what is the circumference of earth 1. Well the difference in angle between these two cities is equal to 7 12. Eratosthenes some 2 200 years ago was off by only 125 km or 101 mi. With his formula biruni arrived at the value of the circumference of the earth within 200 miles of the actual value of 24 902 miles that is less then 1 of error.

Eratosthenes devised a system of latitude and longitude and a calendar that included leap years. The actual polar circumference of earth is just a bit over 40 thousand km about 24 860 miles. The earth as we said is an oblate spheroid so geodesists scientists who measure the earth and its position in space have measured and calculated the average of earth s circumference as 40 075 km or 24 901 mi. Measured around the poles the circumference is 40 007 863 km 24 859 734 mi.

He made several other important contributions to science. Criticism on al biruni s method. In other words if you could drive your car around the. Eratosthenes was a talented mathematician and geographer as well as an astronomer.

So he multiplied 500 by 50 to arrive at his estimate of the earth s circumference. Eratosthenes thought the following way. Measurement of earth s circumference has been important to navigation since ancient times. Eratosthenes estimated earth s circumference at about 46 250 kilometers 28 735 miles.

Earth s circumference is the distance around the earth. Measured around the equator it is 40 075 017 km 24 901 461 mi. Today we know our planet s circumference is roughly 40 000 kilometers 24 850 miles.

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The Sun Physics Math Understanding

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Circumference To Diameter Or Radius Area Math Lessons Teaching 7th Grade

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7th Grade Geometry Assessments 7 G Common Core Math Assessment Test Prep

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Circumference Of A Circle Definition Formula Examples Tutors Com

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