Download presentation
Presentation is loading. Please wait.
Published byJohn Derrick Anderson Modified over 8 years ago
2
A RC L ENGTH
3
S TART WITH SOMETHING EASY The length of the line segment joining points (x 0,y 0 ) and (x 1,y 1 ) is (x 1,y 1 ) (x 0,y 0 )
4
T HE L ENGTH OF A P OLYGONAL P ATH ? Add the lengths of the line segments.
5
T HE LENGTH OF A CURVE ? Approximate by chopping it into polygonal pieces and adding up the lengths of the pieces
6
W HAT ARE WE DOING ? In essence, we are subdividing an arc into infinitely many line segments and calculating the sum of the lengths of these line segments.
7
T HE F ORMULA :
8
E XAMPLE P ROBLEM Compute the arc length of the graph of over [0,1].
9
Y OU TRY Find the arc length of the portion of the curve on the interval [0,1]
Similar presentations
© 2024 SlidePlayer.com. Inc.
All rights reserved.