SOLUTION: If three logs have a diameter of 1m, what is the minimum length of strap needed to wrap all three logs

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Question 1084997: If three logs have a diameter of 1m, what is the minimum length of strap needed to wrap all three logs
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

three logs have a diameter of , circumference of that circle is what is the minimum length of strap needed to wrap all three logs
circumference ->->
so, the minimum length of strap needed to wrap all three logs is

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
As I understand the condition, you have an equilateral triangle with the side length of 1 m.

Three circles of radius 0.5 m are placed with the centers in triangle's vertices.


A strap swifts this configuration from the outside.


You need to find the length of the strap.



Then it is clear that the length of the strap is three times the side measure of the triangle PLUS three times 
the length of the 120 degs arc of the circle with the radius 0.5 m.


So, the answer is   =  meters.


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