This question is hard to picture on paper. Could someone please help me visualize what is going on in this problem? Thanks in advance!! (The photo hase some issues and the textbook does not give a visual aid for this example.
In a forest there are n trees per hectacre evenly spaced. The thickness of each trunk is D. What is the distance of the wood not seen for the trees? (Find the probability that the line of sight will hit a trunk within a distance x.)
This is the part I cannot picture visually.
Imagine a circle with radius x around the observer. A portion, s(x), where 0 < s(x) < 1, is covered by trees. The observer moves a distance dx outward, and another circle is drawn. (Starting here I don't understand) There are 2(pi)n x dx trees growing in the annulus limited by these two circles. They hide a distance 2(pi)x n D dx or a fraction n D dx of the perimeter of the circle.
Again, thanks in advance for the visual aid!!