Question: Study Problems 50 and 61. Consider a set of nonintersecting circles of radius r with centers at the vertices of a convex n-sided polygon having

Study Problems 50 and 61. Consider a set of nonintersecting circles of radius r with centers at the vertices of a convex n-sided polygon having sides of lengths d1, d2, . . . , dn. How long is the belt that fits around these circles (in the manner of Figure 20)?
It can be shown that the distance d from the point (x1, y1) to the line Ax + By + C = 0 is

Ax By, + C

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