Sector Calculator
The following are calculators to evaluate the area of seven common shapes. The area of more complex shapes can usually be obtained by breaking them down into their aggregating simple shapes and totaling their areas. This calculator is especially useful for estimating land area.
Modify the values and click the calculate button to use
Sector
Sector Calculator - Calculate the Area of a Circular Sector
The Sector Calculator is a specialized tool designed to compute the area of a circular sector—a pie-shaped portion of a circle defined by a central angle and radius. This calculator is particularly useful in geometry, engineering, land measurement, and various real-world applications where circular segments need to be quantified.
Key Features:
✔ Easy Inputs – Enter the radius and angle (in degrees or radians) to compute the sector area.
✔ Multiple Units – Supports different measurement units (meters, feet, kilometers, miles, etc.).
✔ Step-by-Step Calculation – Displays the full mathematical process for better understanding.
✔ Accurate Results – Provides precise area calculations with clear unit representation.
How It Works:
- Enter the Radius (r) – The distance from the center to the edge of the circle.
- Select the Radius Unit – Choose from meters, centimeters, kilometers, miles, yards, feet, or inches.
- Enter the Angle (A) – The central angle that defines the sector.
- Choose Angle Unit – Degrees (°) or radians.
- Click "Calculate" – Instantly get the sector area with a detailed breakdown.
Formula Used:
The area of a sector is calculated using:Area=(A2π)×π×r2=A×r22Area=(2πA)×π×r2=2A×r2
Where:
- AA = Central angle (in radians)
- rr = Radius of the circle
Practical Applications:
- Land Surveying – Measure plots of land with circular boundaries.
- Engineering & Architecture – Design curved structures, arches, and circular segments.
- Mathematics & Education – Learn and verify geometric principles.
- DIY & Construction – Calculate materials needed for circular designs.
Whether you're a student, engineer, or hobbyist, the Sector Calculator simplifies complex circular area calculations in seconds! 🚀