cen you solv the band around the earth logic puzzle?

cen you solv the band around the earth logic puzzle?

We're not playin' therefore nice with this logic puzzle. This one needs some maths skills — specifically, information of pure mathematics. we have a tendency to found the band round the Earth puzzle on Mathisfun.com, and you'll browse the matter and resolution below. Good luck!


 Someone created a band that stretches round the Earth's circumference (which is concerning forty,000 kilometers) in a very good circle. 

One day, somebody value-added ten meters to the band. With this value-added slack, the band currently as if by magic sits simply on top of the bottom, still containing the planet in a very good circle. How way is that the band off the ground? might a ectoparasite, a rabbit, or a person squeeze beneath it? Scroll right down to browse the solution. 


 With ten meters value-added to the band, it'll sit or so one.6 meters on top of the surface on the planet. this is often enough area for a person to suit to a lower place. Knowing the circumference of a circle is 2π x r (radius), we all know that with the ten meters value-added to the circumference, the new equation feels like this: forty,000 kilometre + ten m = 2π x (r + gap). we have a tendency to then grasp that the gap should equal ten m / (2π), that shakes resolute one.6 meters. Did you solve it?