Sector Area Table: Sector area by Radius
Reference table of sector area for Sector Area across a range of radius values — exact, engine-computed figures you can read off at a glance.
Sector Area Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Sector area
28.2743
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Sector Area Calculator
The Sector Area Calculator works out your sector area in an instant. Enter radius and central angle and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the radius.
- Enter the central angle.
- Read off your sector area — the calculator updates automatically, with no button to press.
Formula
The Sector Area Calculator uses the formula:
Sector area = 3.141592653589793 × Radius ^ 2 × Central angle ÷ 360
Worked example
For example, with radius of 6 units and central angle of 90 degrees, the sector area is 28.2743.
| Radius | 6 units |
|---|---|
| Central angle | 90 degrees |
| Sector area | 28.2743 |
|---|
Results are estimates for educational use, not professional advice.
Key terms explained
- Radius
- The distance from the centre of a circle or sphere to its edge.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
Take the fraction of the circle the angle covers and multiply by the circle's area: A = πr² × angle ÷ 360. A 90° sector of radius 6 is about 28.27 square units.
A sector is a pie-slice region of a circle bounded by two radii and the arc between them.
The sector becomes the whole circle, and the area equals πr².
This tool uses degrees. With radians, the area is ½ × r² × angle. Convert radians to degrees first if needed.
The Sector Area Calculator uses the formula: Sector area = 3.141592653589793 × Radius ^ 2 × Central angle ÷ 360. For example, with radius of 6 units and central angle of 90 degrees, the sector area is 28.2743.
Enter the radius. Enter the central angle. Read off your sector area — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Sector Area: Formula, Steps & Examples
Learn how to calculate Sector Area — the formula explained step by step, with worked examples and a free calculator to check your answer.