Pie Chart Angle Calculator
Calculate central angles for pie chart slices from data values or percentages
Enter Your Data
Data Categories
Example Calculation
Survey Results Example
Satisfied: 45 responses
Neutral: 20 responses
Dissatisfied: 15 responses
Total: 80 responses
Calculations
Satisfied: (45/80) × 360° = 202.5°
Neutral: (20/80) × 360° = 90.0°
Dissatisfied: (15/80) × 360° = 67.5°
Total: 202.5° + 90.0° + 67.5° = 360°
Pie Chart Tips
The total angle of a pie chart is always 360°
Each slice angle = (value/total) × 360°
Pie charts work best with 2-8 categories
Start with the largest slice at 12 o'clock
Use a protractor to draw accurate angles
Quick Conversions
Understanding Pie Chart Angles
What are Pie Chart Angles?
Pie chart angles are the central angles that determine the size of each slice in a pie chart. Since a complete circle is 360°, each slice's angle represents the proportion of that category relative to the whole dataset.
Why Use Pie Charts?
- •Visualize proportional relationships clearly
- •Show parts of a whole at a glance
- •Compare relative sizes of categories
- •Effective for categorical data presentation
Calculation Steps
- 1. Find total frequency (sum all values)
- 2. Calculate each category's percentage
- 3. Convert percentage to angle: (% ÷ 100) × 360°
- 4. Verify all angles sum to 360°
- 5. Draw pie chart using a protractor
Formula
Angle = (Category Value ÷ Total Value) × 360°
This formula directly converts a data value to its corresponding angle in the pie chart.
Best Practices
- ✓Limit to 2-8 categories for clarity
- ✓Order slices from largest to smallest
- ✓Use distinct colors for each slice
- ✓Include percentages in labels
- ✓Start largest slice at 12 o'clock
Common Use Cases
- •Survey responses and feedback
- •Budget allocation and expenses
- •Market share analysis
- •Demographic distributions
- •Time allocation studies