circle

​ POTM 5 - Teams 5 - 8 The Earth’s Circumference A steel band is placed around the earth, snugly fit at the equator. (The equator is approximately 25,000 miles in circumference.) This band is cut, and a 36 inch piece of string is added to the steel band. This new circular band is placed around the earth, hovering above the earth’s surface, with its center being the center of the earth. A gap is created between the equator and this circular band.

How wide is this gap?

1 - ​Hi fellow Circleonians! So, with my previous team, one of our members posted some really nice stuff and thoughts... I'm asking that this team member puts that same thing on this page too! :D hhahahhaa... I was going to use that team member's idea for solving the problem. Any other thoughts? Ideas? Okay, I just added something, and it's gone! D: But, that is a dilemna(i spelled that wrong didn't I?). The numbers are too big as Team Member 8 said. *puts on quizzical face* What shall we do?? 2 - You have to create a proportion. 25,000 miles/x = 1 mile/63,360 inches 3 -Hey guys! Okay, i was majorly confused when I read this problem...But, after reading person 8 and 14's explanation, I felt so much better, because I understand it better...kinda..... So if the steel band is 1584000000 inches and you add 36 which is 1584000036 inches. And then 8 said to subtract the smaller area from the smaller area. right? or something....haha. 4 -I really like the picture it helps alot! I agree with the creating a proportion thingy! But still confused on what the final answer is!! 5 - 6 - 7 - 8 - Hey there, peoples! Circleonians is a rather awesome word. I did the same as person number 14, and here is my previous work: Again, sorry for the small font. The Earth's circumference is 1,584,000,000 inches and the new one is 1,584,000,036 inches. Then, using the circumferences, I found the diameter and the radius of the bigger circle. I think we need to find the area of both circles and subtract the smaller from the larger to get the amount of space is left in the middle, and the only reason that I did not is because the number that was the area was too large for my calculator. What do you think we should do?
 * __Class Member Contributions__**

9 - 10 - Heyy. So i agree with the proportion idea of converting 25,000 miles to inches. After that I'm just lost. DOes anyone have any advice to help me understand this further? =) 11 - yurrrppss i like the picture number 8 put it really helpedd me and setting up a preportion is a goood idea 12 - 13 - 14 - ​Hi! So I converted the 25,000 miles to inches and got 1,584,000,000 inches. Then I added the 36 inches to that. Now I know the difference in length of the two bands around the Earth. I'm still working on where to go from there. I'm not even 100% sure that's right. Maybe we should try to draw some pictures like we did for the last potm. What do you think? I'm back! :] I like the pictures that were added! I think the answer is right too! Great job! :] 15 - 16 -Hi, So I tried drawing a picture and pasting it in here but it didnt work so sorry :(. But I agree that with number 8, I think we do have to find the area of the circle. The formular for area of a circle is pie squared times the radius.

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