Welcome to OnlineConversion.com Forums 

Convert and Calculate Post any conversion related questions and discussions here. If you're having trouble converting something, this is where you should post. * Guest Posting is allowed. 

Thread Tools  Display Modes 
#1




Find the radius from a chord
By having only two measurments, first the length of the chord and the height of the curve, what is the formula for finding the radius of the circle.

#2




Re: Find the radius from a chord
I am not exactly sure what you mean.
The chord meaures the curve of a sector of a circle? The height is what? The height from the center of the circle or the height from the ends of the chord? I have a book listing many formulas, but none to help knowing just the length of the arc and the height. Take a look at the following diagram, and point out all the information you know and I can supply the correct formula. My guess is you know the height m and the arc length XZ. Is this correct? 
#3




Re: Find the radius from a chord
Yes that is correct. I know the length of the cord (c) and the height of the arc created by the cord (m). Is there a formula to find the radius with this information?

#4




Re: Find the radius from a chord
Just to make sure we are talking about the same thing, c is a straight line between points X and Z, called the cord, the curved line would be called arc length XZ.
Assuming you know c (not XZ) and m then the formula would be: r = (m² + ¼c²)/2m 
#5




Re: Find the radius from a chord
I have the circle and a chord through the circle then i know the hight but how do i fing the radius? Does it have something to do with triangles and the hypotenuse?

#6




Re: Find the radius from a chord
Using the image above, provide the symbols for what you know. I can look up the formula for what you need in my pocket ref. There is a section on circle segments, circle sectors, and circular zones.

#7




Re: Find the radius from a chord
An arch is in the form of a circle and has a span of 30 meters and height 10 m. What is the radius of arc.
May please give a solution for this 
#8




Re: Find the radius from a chord
Quote:
The formula I have is: XZ = Q * Pi/180 * r You can solve the equation for r, and you know XZ, just need to know Q. 
#9




Re: Find the radius from a chord
if you know only c, and m; what is the radius?
example, i'm standing on the out side of a semicircular structure and i have no way of getting in to the interior to measure any angle. it is of such a nature that i can only measure a segment of the arc length of the semicircular structure. i transfer that arc length to a piece of paper. i can now draw a chord of 'c' length and a can measure the sagitta (arc height from center point of chord or 'm'). what is the radius ? what would be more useful is if i only know the arc length, what is the radius. roadbump 
#10




Re: Find the radius from a chord
If you know c and m, you can calculate the radius like so:
radius = (m² + 1/4c²)/2m Knowing just the arc length XZ, you cant calculate the radius. 
Thread Tools  
Display Modes  

