TG we-Calculate logoTG we-Calculate
All Calculators
Beginner

Pie Chart Percentage Calculator — Angle to Percent

Convert a pie chart sector angle to a percentage: enter the central angle of a slice in degrees (0° to 360°) and get its percentage share of the full chart, plus the equivalent in radians.

°

The central angle of the pie slice (0° to 360°)
Enter the total to also calculate the slice's raw value
Percentage share
25%

Fraction of the full circle (360°) this sector represents

Angle in degrees
90 °
Angle in radians
1.5708 rad
Remainder angle
270 ° (75%)
25%
75%
This slice
Remainder
Proportion of the full circle
Step by step
  1. 1

    Proportion of full circle

    90 ÷ 360 = 0.25
  2. 2

    Percentage = proportion × 100

    0.25 × 100 = 25
    A full circle represents 100%.
Results are estimates for general information only and are not professional advice — always verify important results independently before relying on them. Read the full disclaimer.
Quick answer

How does this calculator work?

Pie chart percentage = sector angle ÷ 360 × 100. Each degree equals ≈ 0.278% of the total. Convert to radians by multiplying degrees by π/180. Optional: enter the total to find the slice's raw value. Reverse: angle = percentage × 3.6.

Formula
Percentage = (angle ÷ 360) × 100 • Radians = angle × π ÷ 180
How this is calculated

A full pie chart circle equals 360°, representing 100% of the data. Any sector angle is therefore a fraction of 360°, and that fraction times 100 gives the percentage share: percentage = angle ÷ 360 × 100. Equivalently, each degree of arc equals 100/360 ≈ 0.2778% of the total.

If you also know the total quantity that the pie chart represents (for example, a budget of 1200 units), you can find the slice's raw value: value = (percentage / 100) × total. Enter that total in the optional field to see the result.

The calculator also converts degrees to radians (multiply by π/180), which is the unit used by most programming drawing APIs when specifying arc angles for SVG, Canvas or chart libraries. The remainder shows what fraction of the chart (and how many degrees) belongs to all other slices combined.

Frequently asked questions

Percentage = angle ÷ 360 × 100. For example, a 72° sector is 72 ÷ 360 × 100 = 20%. Shortcut: divide the angle by 3.6 to get the percentage directly (72 ÷ 3.6 = 20).

Half of 360° = 180°. A quarter is 90°, one-third is 120°, one-fifth is 72°, and one-tenth is 36°. In general, angle = percentage × 3.6.

Angle = percentage × 3.6. So 25% → 25 × 3.6 = 90°. Use the Pie Chart Angle Calculator if you are starting from a value and a total rather than a percentage.

Also known as

pie chart angle to percentage
sector degrees to percent
pie slice percentage calculator
convert pie angle to percent
circle graph percentage from angle
pie chart percent from degrees
angle percentage conversion

APA

TG we-Calculate Editorial Team. (2026). Pie Chart Percentage Calculator — Angle to Percent [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/pie-chart-percentage-calculator

Chicago

TG we-Calculate Editorial Team. "Pie Chart Percentage Calculator — Angle to Percent." TG we-Calculate. 2026. https://we-calculate.com/calculator/pie-chart-percentage-calculator.

IEEE

TG we-Calculate Editorial Team, "Pie Chart Percentage Calculator — Angle to Percent," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/pie-chart-percentage-calculator

BibTeX

@misc{wecalculate_pie_chart_percentage_calculator, title = {Pie Chart Percentage Calculator — Angle to Percent}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/pie-chart-percentage-calculator}}, year = {2026}, note = {TG we-Calculate} }

Did this calculator help you?

Related calculators

Pie Chart Calculator

Enter comma-separated values and labels to instantly calculate the percentage and degree angle for each slice of a pie chart.

Beginner

Pie Chart Angle Calculator

Find the central angle of a pie chart slice in degrees — enter the slice value and the total, and get the sector angle and percentage share.

Beginner

Percentage Calculator

Work out percentages fast: X% of Y, what percent one number is of another, and percentage change.

Beginner

Circle Calculator

Calculate the area, circumference and diameter of a circle from its radius.

Beginner

5-Number Summary Calculator

Calculate the 5-number summary (min, Q1, median, Q3, max), IQR, range, and Tukey outlier fences from any data set.

Beginner

A/B Test Calculator

Calculate A/B test statistical significance: enter visitor and conversion counts for control and variant to get the p-value, z-statistic, and relative lift.

Intermediate