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

Algebra ->  Circles -> SOLUTION: If three logs have a diameter of 1m, what is the minimum length of strap needed to wrap all three logs      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!

three logs have a diameter of d=1m, circumference of that circle is what is the minimum length of strap needed to wrap all three logs
circumference C=d%2Api->C=1m%2A3.14->C=3.14m
so, the minimum length of strap needed to wrap all three logs is 3.14m

Answer by ikleyn(52781) About Me  (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  3%2A1+%2B+3%2A2pi%2A0.5%2A%281%2F3%29 = 3+%2B+pi meters.