doturitip9

2022-07-07

What is the arclength between two points on a curve? How does it differ from the distance?

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Monserrat Cole

Expert

Explanation:
Example
For the points (-1, 0) and (1, 0)
the distance between the points (the length of the straight line joining them) is 2.
The length of the arc on the unit circle: ${x}^{2}+{y}^{2}=1$ is half the circumference, so it
is $\pi$ . (More completely, the lengths of both the upper and lower arcs are $\pi$ .)

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