Question

eratosthenes estimated the circumference of the earth as 250,000 stadia (the length of an athletic stadium). if we assume he used the most common length of stadia of his time, his estimate of the circumference of the Earth would be 46,620 km. Currently, the accepted average circumference of the Earth is 40,030.3 km. Find the percentage error of Eratosthenes' estimate of the circumference of the Earth

Answer 1

Answer: 16.5%

Step-by-step explanation:

given data:

estimated circumfrence of the earth = 250,000 stadia.

Actual value = 46,620km

expected Value = 40,030.3km

solution:

percentage error = actual value – expected value/ expected value * 100

= 46,620 – 40,030.3 / 40,030.3 * 100

= 6589.7 / 40,030.3 * 100

= 0.16462 * 100

= 16.5%

percentage error is 16.5%