Unlock the Area of Circle Sectors
Calculate the area of a circle sector effortlessly with our interactive tool. Visualize and understand sector areas with ease.
Input Parameters
The distance from the center of the circle to its edge.
The angle formed by the sector's arc.
Sector Visualization
Radius: units
Angle:
Area: units2
Understanding Circle Sector Area
A circle sector is a portion of a circle enclosed by two radii and an arc. It's like a slice of pie! To calculate the area of a circle sector, we use the formula:
Area = (θ/360) × πr² (if angle θ is in degrees)
Area = (θ/2π) × πr² = (1/2) × r²θ (if angle θ is in radians)
Where:
- r is the radius of the circle.
- θ is the central angle of the sector in degrees or radians.
- π (pi) is approximately 3.14159.
This calculator simplifies this process, allowing you to quickly find the sector area by inputting the radius and central angle. Whether you're working on geometry problems or practical applications, this tool is here to help!