Golden Section Calculator

Divide any line or total length into two segments that follow the Golden Ratio (phi). Ideal for layout design and composition analysis.

Golden Section Calculator

Divide a line segment into the perfect Golden Ratio (φ ≈ 1.618)

Quick Examples
Enter total to auto-calculate parts
≈ 61.8% of total
≈ 38.2% of total

Golden Ratio Formula: φ = (1 + √5) / 2 ≈ 1.61803. A line divided in this ratio satisfies: (a + b) / a = a / b = φ

Section Analysis

Visual breakdown and ratio verification

Long (a) Short (b)
Ratio a/b1.6180
Ratio (a+b)/a1.6180
φ Deviation0.0000%
Is Golden?✓ Yes
Calculation Steps

How to Use Golden Section Calculator in 3 Easy Steps

1

Step 1

Enter the total length.

2

Step 2

View the calculated long (a) and short (b) segments.

Frequently Asked Questions

Artists use it to place subjects in a composition to create balance and interest.