About This Calculator
The Sector Area Calculator allows you to determine the area of a circular sector using its radius and central angle. A sector is a portion of a circle bounded by two radii and the connecting arc.
How It Works
- Enter the radius of the circle and select the unit (e.g., cm, m, in).
- Input the central angle in degrees (1° to 360°).
- Click the "Calculate" button to compute the area.
- The result will show the sector's area in the selected unit, along with the calculation steps.
Where r is the radius, and θ is the central angle in degrees.
Frequently Asked Questions
What is a sector?
A sector is a part of a circle formed by two radii and the arc between them. It resembles a “pie slice.”
How do I calculate the area of a sector?
Use the formulaA = (θ / 360) × π × r², whereθis the central angle in degrees and r is the radius.
What units are supported?
Radius can be entered in cm, m, in, or ft. The area result will be in squared units of the chosen length.
Can the angle be more than 360°?
No, a full circle is 360°. The central angle for a sector must be between 1° and 360°.
Can I enter radius values in different units?
You can choose from supported units in the input field. The calculator handles the conversion automatically.