# Lenght of a curve

1. Feb 16, 2005

### mugzieee

i got a problem that says:
x=sqrt(5)sin2t -2
y=sqrt(5)cos2t - sqrt(3)

how would i go about starting it?

2. Feb 16, 2005

### Justin Lazear

Do you know the equation for arc length for a parameterized curve?

--J

3. Feb 16, 2005

### dextercioby

One other thing:You may wanna know between which points you wish to compute the length...?In other words,give 2 distinct values of "t"...The integral doesn't seem to be difficult...

Daniel.

4. Feb 16, 2005

### xanthym

$$:(1): \ \ \ \ (CurveLength_{t=a}^{t=b}) = \int_{a}^{b} \sqrt { (\frac {dy} {dt})^2 + (\frac {dx} {dt})^2} \ \ dt$$

(HINT: If solved correctly, this problem simplifies very rapidly!!)

~~