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?