Question 1163738
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Make a sketch.


From the sketch, find 4 linear elements of the band, for which the length of each element is equal to 12 inches.


Find also four arcs of 90 degrees each with the radius of 12/2 = 6 inches.


The sum of the lengths of these elements is  {{{4*12 + 4*(pi/2)*6}}} = {{{48 + 2*pi*6}}} = 48 + 2*3.14*6 = 85.68 inches, approximately.


<U>ANSWER</U>.  The band length is  {{{48 + 2*pi*6}}} = 48 + 2*3.14*6 = 85.68 inches, approximately.
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Solved.


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<U>The post-solution note</U>.


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    The first step of the solution is to make a sketch.

    After that, the rest of the solution is OBVIOUS.
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<U>My response to Edwin's post</U>


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    The new band total length will be the same.

    Edwin, feel free to develop your solution (!)

    Have a nice day and be safe (!)
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