+0  
 
0
457
3
avatar

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

Guest Apr 28, 2015

Best Answer 

 #2
avatar+27057 
+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
 #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+27057 
+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+93691 
+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

11 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.