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View Full Version : Converting Slope arc Length to Flat Arc Length


lovedale
Aug 21, 2008, 04:29 AM
Hi,


Given parameters are:-


Slope arc length

Angle on Slope

Arc radius


Is there any way to calculate flat arc length?


Thanks!

galactus
Aug 21, 2008, 01:25 PM
What do you mean by 'flat' arc length? Were you meaning to list some data?

Arc length is given by s=r{\theta}.

Where r is the radius of the circle and {\theta} is the central angle.

Where \theta is in radians.

Of course, s is the arc length.

For instance, suppose you had a radius of 1000 feet and a central angle of \frac{\pi}{6} radians (which is equal to 30 degrees).

Then, the arc length is s=1000(\frac{\pi}{6})=\frac{500\pi}{3}=523.6 \;\ feet

There is also a more complicated formula using calculus. I can give you that if you wish.

If this is not what you meant, please be more specific with an example.