Calculate the segments of a line divided according to the Golden Ratio (Phi β 1.618). Enter any one of the segment lengths to find the others.
Please fill in only ONE of the input fields below.
The Golden Ratio (Phi):
1.6180339887
Calculated Longer Segment (a):
0
Calculated Shorter Segment (b):
Calculated Total Length (a+b):
The Golden Ratio divides a segment so the ratio of the longer part to the shorter equals the ratio of the whole to the longer (approximately 1.618).
Key formula: a / b = Ο β 1.618; a + b = T; a = (Ο / (1 + Ο)) Β· T β 0.618 Β· T; b = T / (1 + Ο) β 0.382 Β· T
a / b = Ο β 1.618; a + b = T; a = (Ο / (1 + Ο)) Β· T β 0.618 Β· T; b = T / (1 + Ο) β 0.382 Β· T
Example values used for this demonstration: total length T = 100 units.
We use Ο β 1.6180339887 as the standard approximation; displayed results are rounded for clarity.
Any linear unit is acceptable (mm, cm, m, in, etc.), but ensure all inputs use the same unit for correct results.
Provide a single known length; the calculator derives the other two values so the three quantities satisfy the golden ratio relations.
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