Calculating the Distance Between Adjacent Holes in a Circular Pattern?

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a machinist needs to drill five holes in a circular plate. the centers of the holes must be 8.0 cm from the center of the plate and be spaced in a circular pattern equidistant from each other. How far apart (straight-line distance will the centers of the adjacent holes be placed?

some help here please
 
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What have you tried? You have to make some effort before any of us will weigh in with some pointers.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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