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Fiber Optic Distances

When light rays travel down optical fibers, they don't follow a perfectly straight path. That means the light has to cover a little extra distance compared to the straight-line distance from one end of the fiber to the other. Suppose a light ray enters a fiber of diameter 59 mm at an angle of =27 degrees with respect to the fiber walls. How much actual distance will the light ray have to travel for every meter of fiber it moves along?

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