contestada

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.)

Respuesta :

Answer:

8771408311 steps ( approx )

Step-by-step explanation:

Given,

The radius of the earth,

[tex]r=6.38\times 10^6[/tex]

So, the circumference of the earth,

[tex]S=2\pi (r)[/tex]

[tex]=2\times \frac{22}{7}\times (6.38\times 10^8)[/tex]

[tex]=4.0102857143\times 10^9\text{ meters}[/tex]

∵ 1 meter = 39.3701 inches

[tex]\implies S =1.578853496\times 10^{11}\text{ inches }[/tex]

Also, the length of one step = 18 inches

Hence, the total number of steps =  [tex]\frac{1.578853496\times 10^{11}}{18}[/tex]

[tex]= 8.7714083111\times 10^9[/tex]

[tex]\approx 8771408311[/tex]

Otras preguntas