MHB Is Finding the Arc Length of a Curve the Same as Finding the Length?

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Finding the "arc length" of a curve is indeed the same as finding the "length" of a curve; the terms are often used interchangeably. Both refer to the measurement of the distance along the curve from one endpoint to another. The process to calculate arc length typically involves integral calculus, depending on the curve's equation. Therefore, there is no distinction in meaning between the two phrases in this context. Understanding this equivalence is crucial for clarity in mathematical discussions.
shamieh
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This may seem like a dumb question, but is finding the "arc length" of a curve and finding the "length" of a curve the same thing? Just worded differently?
 
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shamieh said:
This may seem like a dumb question, but is finding the "arc length" of a curve and finding the "length" of a curve the same thing? Just worded differently?

Yes.
 

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