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balaknegor2018-06-07 12:14:14
Mathematics
balaknegor, 2018-06-07 12:14:14

How to calculate the length of an arc?

Hello guys, how to calculate the length of an arc?
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4 answer(s)
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Rsa97, 2018-06-07
@Rsa97

Curvimeter
For analytical calculations, you need to know what kind of arc it is - a circle, an ellipse, an ovoid, an arbitrary shape, etc.

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Stalker_RED, 2018-06-07
@Stalker_RED

If you have a physical object then
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Godless, 2018-06-07
@Godless

A definite curvilinear integral of the function defining this arc.
In general, in your case, as far as I understood the task, and if there is nothing else, then you need to prove / show that this curve is a piece of some well-known figure - a circle, an ellipse, an ovoid, etc., calculate the center (s), radius(s), angles and substitute into known formulas.
If not, then in general it is an integral. But the function must be known or somehow approximated, as well as the boundaries.
It may also be that the length of the arc needs to be somehow approximated by pieces in different areas.
It's all guesswork without the full job...

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