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Central Angle Calculator
Central angle of a circle sector from arc length and radius, or chord length and radius.
ruler Free Online Tool
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Central angle
Compare Your Options And Get Clear Answers
Central angle of a circle sector from arc length and radius, or chord length and radius.
Central Angle Estimator
Enter your numbers below for an instant estimate.
0
๐ก Tip: theta (rad) = arc / r.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Central Quick Guide
Typical values for reference.
| Radius | Arc | Arc | Angle deg |
|---|---|---|---|
| 10 | 5 | 5 | 28.648 deg |
| 10 | 10 | 10 | 57.296 deg |
| 10 | 15 | 15 | 85.944 deg |
| 10 | 31.416 | 31.416 | 180.000 deg |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Central Angle Calculator FAQ
Answers to common questions about this calculator.
An angle whose vertex is the centre of a circle.
Divide arc length by radius to get radians.
theta (rad) = arc / r.
It is an estimate based on the inputs you enter. Check real quotes, labels or official guidance for important decisions.