2. A. Ineffective Ways to Measure

Standard measurement of lengths

We know how to measure the length of a straight line.
For a reasonably smooth curve we can try to measure the length of the curve by approximating it with straight line segments.
Using segments of length d, suppose N such segments are needed to approximate the curve. Then the length of the curve, measured at scale d, is
L(d) = N⋅d
For example, let us approximate a circle of radius 1 by straight line segments.
Click the picture to see the polygonal approximations with 3 through 20 sides. Here is a graph of the lengths of the polygons approximating the circle, for 20 through 100 sides.
The circumference of a circle of radius 1 is 2π ≈ 6.2832, represented by the horizontal line in the right graph.
It certainly appears that the polygonal approximation will work for computing the length of the circle, though many steps are needed to get a good approximation.

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