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Calculating the length of a curve

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Hossein
Hossein 2017-1-13
评论： Jyotish Robin 2017-1-17
Hi everyone,
can anybody tell me how to calculate the length of a curve being defined in polar coordinate system using following equation? z=21-2*cos(1.5*(tet-7*pi/6))
for tet=[pi/2:0.001:pi/2+2*pi/3].
I put the code here too and many thanks in advance.
tet=[pi/2:0.001:pi/2+2*pi/3];
z=21-2*cos(1.5*(tet-pi/2-pi/3));
polar(tet,z)
  1 个评论
Jyotish Robin
Jyotish Robin 2017-1-17
To find the length of a curve y=f(x), we can make use of the formula:
L =integral(sqrt(1+(dy/dx)^2));
Now you can make use of the functions "diff" and "int" in MATLAB to perform differentiation and integration operations.
As an alternative to "int" function, you can try using "quad" function also.
The following link is worth looking: https://www.mathworks.com/matlabcentral/newsreader/view_thread/20241
Hope this helps !

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