Question 1193968
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The length of the given arc is  {{{2*pi*r*(130/360)}}} = {{{2*3.14159*5*(130/360)}}} = use your calculator = 11.3446  inches  (rounded).    <U>ANSWER</U>


Notice that the ratio  {{{130/360)}}}  represents the part of the total circumference corresponding to the given central angle.
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Solved.


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Dear tutor &nbsp;@Math_Therapy, &nbsp;when this writer/(problem's composer) wrote


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    "Express the arc length in terms of . . . "
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he / (or she), &nbsp;OBVIOUSLY, &nbsp;wanted to say &nbsp;" in terms of the arc angular measure ",

but, &nbsp;OBVIOUSLY, &nbsp;forgot &nbsp;(or did not know) &nbsp;these words.



I am able to read between the lines, &nbsp;as well as between the words, &nbsp;too . . . 


I do it very easy; it is not difficult to me . . .