Thread: length of parametric curve

consider the parametric equation

x=10(cos∅+∅sin∅)
y=10(sin∅-∅cos∅)

what is the length of the curve for ∅=0 to ∅=1/6∏?

Originally Posted by waite3

consider the parametric equation

x=10(cos∅+∅sin∅)
y=10(sin∅-∅cos∅)

what is the length of the curve for ∅=0 to ∅=1/6∏?

do you have the right integral?

the arc length is given by:

ya i have that but everytime i take the derivative of x and y then plug them into the equation i come out with the wrong answer. what do you come out with for an answer. thanks for your help

Originally Posted by waite3

ya i have that but everytime i take the derivative of x and y then plug them into the equation i come out with the wrong answer. what do you come out with for an answer. thanks for your help

for the integral, i got , now just evaluate that between the given limits

i come out with 0.239245 and its not right.

Originally Posted by waite3

i come out with 0.239245 and its not right.

of course that is wrong. that is not what you get when you evaluate.

you have