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Pie Chart Angle Calculator — Sector Degrees from Value

Calculate the central angle of a single pie-chart slice: enter the slice value and the total (the sum of all slices), and get the sector angle in degrees, percentage share, and radians.
The value of the slice you want the angle for
Sum of all category values in the pie chart
Sector angle
90°

The central angle of this slice of the pie chart

Percentage share
25 %
Angle in radians
1.5708 rad
Slice value
25
Remaining total
75

90°

sector

This slice

25%

Remainder

75%

Step by step
  1. 1

    Proportion of total

    25 ÷ 100 = 0.25
  2. 2

    Sector angle = proportion × 360°

    0.25 × 360 = 90
    A full circle equals 360°.
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 sector angle = (value ÷ total) × 360°. Percentage = (value ÷ total) × 100. For example, a slice worth 30 out of 120 total has angle 90° and is 25% of the chart. Radians = angle × π/180.

Formula
Angle (°) = (value ÷ total) × 360 • Percentage = (value ÷ total) × 100
How this is calculated

A pie chart represents data as sectors of a full circle. Because a full circle equals 360°, each slice gets an angle proportional to its share of the total: angle = (value ÷ total) × 360°. A slice that makes up 25% of the total, for example, occupies 0.25 × 360 = 90° of the circle.

The same ratio gives the percentage share (× 100) and the angle in radians (× 2π). Radians are useful if you are drawing the chart programmatically using a canvas or SVG arc command, which typically work in radians.

This calculator is for a single slice. If you want the angles for all slices at once, use the full Pie Chart Calculator. Pie charts assume that all values are non-negative and that the slice value does not exceed the total.

Frequently asked questions

Angle = (slice value ÷ total) × 360°. Equivalently, if you already know the percentage, angle = percentage × 3.6°. For example, a 15% slice has an angle of 15 × 3.6 = 54°.

Percentage = angle ÷ 360 × 100, or simply angle ÷ 3.6. A 90° sector is 90 ÷ 3.6 = 25%. See the Pie Chart Percentage Calculator for the reverse calculation from an angle.

Exactly 180° — half of 360°. A quarter of a pie is 90°, and one-third is 120°. Any fraction of a full circle simply multiplies 360° by that fraction.

Also known as

pie chart sector angle calculator
pie slice angle degrees
central angle pie chart
pie chart angle from value
circle graph sector angle
pie chart degree from percentage
sector angle calculator

APA

TG we-Calculate Editorial Team. (2026). Pie Chart Angle Calculator — Sector Degrees from Value [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/pie-chart-angle-calculator

Chicago

TG we-Calculate Editorial Team. "Pie Chart Angle Calculator — Sector Degrees from Value." TG we-Calculate. 2026. https://we-calculate.com/calculator/pie-chart-angle-calculator.

IEEE

TG we-Calculate Editorial Team, "Pie Chart Angle Calculator — Sector Degrees from Value," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/pie-chart-angle-calculator

BibTeX

@misc{wecalculate_pie_chart_angle_calculator, title = {Pie Chart Angle Calculator — Sector Degrees from Value}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/pie-chart-angle-calculator}}, year = {2026}, note = {TG we-Calculate} }

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