tag:blogger.com,1999:blog-15628310.post116645203784717255..comments2024-02-11T22:40:20.959-05:00Comments on Question of the day: How much rope?Anonymoushttp://www.blogger.com/profile/18153935609499338685noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-15628310.post-1166538944073273902006-12-19T09:35:00.000-05:002006-12-19T09:35:00.000-05:00It's very cool. The outline of a circle is 2*PI*r...It's very cool. <BR/><BR/>The outline of a circle is 2*PI*r. If you want a rope that is one meter above the ground rnew=r+1. So you need 2*PI*(r+1)-2*PI*r more rope.<BR/><BR/>So,<BR/>x=2*PI*(r+1)-2*PI*r<BR/>x=2*PI*r+2*PI-2*PI*r<BR/>x=2*PI<BR/>x is approximately 6.28 meters<BR/><BR/>It does not matter what the radius of the circle is. You always need 2*pi more rope.Anonymoushttps://www.blogger.com/profile/18153935609499338685noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-1166460354544989802006-12-18T11:45:00.000-05:002006-12-18T11:45:00.000-05:00It does seem counter-intuitive, doesn't it? But y...It does seem counter-intuitive, doesn't it? But yes, Andy is correct. For both instances, you add just over 6 meters of rope and you have extended the radius by 1 meter. How cool is that?Mr. Donhttps://www.blogger.com/profile/04844019232053683131noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-1166455576271958492006-12-18T10:26:00.000-05:002006-12-18T10:26:00.000-05:00the answer would seem to be 2*pi meters in both ca...the answer would seem to be 2*pi meters in both cases. since rope length is circumference, which is 2*pi*radius, and in both cases you are increasing the radius by 1 meter.Andyhttps://www.blogger.com/profile/05644396308532248413noreply@blogger.com