EVERYDAY CLARITY
Chord Calculator
How long is the straight chord between the ends of an arc? Enter the values below to calculate the result.
Your result
result
length
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Radius (length) | Enter the radius, which is half the diameter. |
| Central angle (degree) | Enter central angle in degree; use the same basis as the other measurements. |
Understanding your result
Read result (length) in the units and model stated on this page. The formula result=2*r*sin(theta*pi/360) defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Entering the diameter where the radius is requested.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
How long is the straight chord between the ends of an arc?
How long is the straight chord between the ends of an arc? Enter the values below to calculate the result.
Common uses
- How long is the straight chord between the ends of an arc
How it works
result=2*r*sin(theta*pi/360)
Worked example
Enter Radius: 2 length; Central angle: 90 degree. Results: result: 2.8284271247461903 length.