Question

Estimate the number of steps you would have to take to walk a distance equal to the circumference of the earth. (we estimate that the length of a step for an average person is about 18 inches, or roughly 0.5 m. the radius of the earth is 6.38 ✕ 106 m.)

Answer 1

Answer: 80,000,000 or 80 million

Step-by-step explanation:

Given : The radius of the earth = $6.38\times10^{6}\ m$

Formula of circumference :-

$C=2\pi r$, where r is the radius.

Then, the circumference of the earth will be :_

$C=2(3.14) (6.38\times10^{6})\\\\\Rightarrow\ C=40.0664\times10^6\ m$

Thus , the circumference of the earth = $40.0664\times10^6\ m$

Also it is given that , the length of a step for an average person =  $\text{18 inches }\approx0.5\ m$

Then, the number of steps you would have to take to walk a distance equal to the circumference of the earth :-

$\dfrac{40.0664\times10^6}{0.5}\\\\=80.1328\times10^6=80,132,800\approx80,000,000$

Hence, the estimated number of steps you would have to take to walk a distance equal to the circumference of the earth. = 80,000,000 or 80 million

Answer 2

The formula for circumference is diameter x pi

so double the radius multiply by pi and divide by 0.5

ANSWER: 8498.385119 m