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How do i find the arc length of a curve at a certain point (x,y)

Guest Apr 28, 2015

Best Answer 

 #2
avatar+26329 
+10

A point has zero length!  You must have a finite interval to get the length.

 

If you know y = f(x), then you can find the arc-length from, say x=a to x=b from the following integral:

 

$$\int_a^b\sqrt{1+(\frac{dy}{dx})^2}dx$$

.

Alan  Apr 29, 2015
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3+0 Answers

 #1
avatar+248 
+5

You will need to use Arc length parameterisation, here's a short video on it If you're not that familiar with it; https://www.youtube.com/watch?v=SbSMASTymfw

 

Brodudedoodebrodude  Apr 28, 2015
 #2
avatar+26329 
+10
Best Answer

A point has zero length!  You must have a finite interval to get the length.

 

If you know y = f(x), then you can find the arc-length from, say x=a to x=b from the following integral:

 

$$\int_a^b\sqrt{1+(\frac{dy}{dx})^2}dx$$

.

Alan  Apr 29, 2015
 #3
avatar+91049 
+5

Mmm I have to think about that one Alan :/    

I'll try to set some time aside to play with it   

Melody  Apr 29, 2015

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