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: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]