Area of Sector Calculator

Calculate the area and arc length of a circle sector quickly and accurately. Enter the radius and central angle to get instant results for sector area and arc length calculations.

How to Use the Sector Calculator

1. Enter the radius of the circle in the first input field
2. Enter the central angle of the sector in degrees in the second input field
3. Click the "Calculate" button to see the results
4. The calculator will display both the sector area and arc length

Understanding Sector Calculations

A sector is a portion of a circle enclosed by two radii and an arc. The area of a sector and its arc length can be calculated using the following formulas:

• Sector Area: A = (θ/360°) × πr² where θ is the central angle in degrees and r is the radius
• Arc Length: L = (θ/360°) × 2πr where θ is the central angle in degrees and r is the radius

Common Applications

Sector calculations are useful in various fields including:

• Geometry and trigonometry problems
• Engineering and construction projects
• Design and graphics work
• Pizza slice calculations
• Land surveying and area measurements