I'm trying to calculate the length of a chord so that the area of the segments = 15% & 85% respectively. all I know is the diameter. anyone have a simple solution?
I'm trying to calculate the length of a chord so that the area of the segments = 15% & 85% respectively. all I know is the diameter. anyone have a simple solution?
Assuming the smaller area is the outer ring, to get the area split the smaller diameter will be =sqrt(0.85 * d^2)
Chord length will then be a function of your new inner diameter and the angle of the segment.
thanks Kevin, I did find other calculators but they were a bit hit or miss.
john matthews wrote:
I'm trying to calculate the length of a chord so that the area of the segments = 15% & 85% respectively. all I know is the diameter. anyone have a simple solution?
If your arc length is 15% of the circumference (you already know the diameter) so you could 1) construct two lines of length 'd' which share a common endpoint and are at an angle with each other of 15% of 360°, then measure between the two other endpoints. Or 2) you could look up the formula in almost any geometry book. An alternative (since you are already on the internet - inferred since you are using this forum) is 3) google it on bing.
I started doing this with calculus and discovered that it's been a long time since undergrad...
John,
There is a very good calculator here.