Circular Segment Area Calculator
Calculate the area of a circular segment using radius and central angle with our free online tool.
Calculation Results
Radius:
Central Angle: degrees
Segment Area:
Arc Length:
Chord Length:
Understanding Circular Segments
A circular segment is a region of a circle enclosed by an arc and a chord. Our calculator provides a simple way to determine the area of this geometric shape using just the radius of the circle and the central angle.
Disclaimer
This calculator is provided for educational and reference purposes only. While we strive for accuracy, results should be verified independently for critical applications, especially in fields like engineering, construction, or scientific research.
How to Calculate a Circular Segment Area
The area of a circular segment can be calculated using the formula:
Area = (r² × (θ - sin θ)) / 2
Where:
- r = radius of the circle
- θ = central angle in radians (our calculator converts your input from degrees)
Applications of Circular Segment Calculations
Circular segment area calculations are useful in various fields:
- Civil Engineering - Designing curved structures and calculating material requirements
- Architecture - Planning arched doorways, windows, and geometric design elements
- Physics - Modeling curved motion paths and sectional analysis
- Mathematics - Solving geometry problems and area computations
- Manufacturing - Designing curved components and determining material needs
- Astronomy - Calculating partial visibility during celestial events
- Landscaping - Planning curved garden beds and features
Features of Our Calculator
- Precision - Accurate calculations to multiple decimal places
- Visual Representation - Interactive diagram showing the segment
- Multiple Units - Support for centimeters, meters, inches, and feet
- Additional Measurements - Arc length and chord length included with results
- User-Friendly Interface - Simple, intuitive design with instant results
Whether you're a student working on geometry problems, an engineer planning a project, or a hobbyist working on a DIY endeavor, our Circular Segment Area Calculator provides quick, accurate results for all your measurement needs.