EVERYDAY CLARITY
Circular Segment Calculator
What is the area between a chord and its circular arc? Enter the values below to calculate the result.
Your result
result
length^2
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^2) in the units and model stated on this page. The formula result=r*r*(theta*pi/180-sin(theta*pi/180))/2 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
What is the area between a chord and its circular arc?
What is the area between a chord and its circular arc? Enter the values below to calculate the result.
Common uses
- What is the area between a chord and its circular arc
How it works
result=r*r*(theta*pi/180-sin(theta*pi/180))/2
Worked example
Enter Radius: 2 length; Central angle: 90 degree. Results: result: 1.1415926535897931 length^2.