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Golden Ratio

Explore GoldenRatio on MathWorld


The golden ratio φ is a mathematical constant obtained as the ratio of longest-to-shorted side lengths in a rectangle constructed so that when it is partitioned into a square and new rectangle, the new rectangle has the same ratio of side lengths as the original. The golden ratio has value of approximately 1.618.

Golden ratio is a middle school-level concept.

Prerequisites

Geometry: Geometry is the branch of mathematics that studies figures, objects, and their relationships to each other. This contrasts with algebra, which studies numerical quantities and attempts to solve equations.
Rectangle: A rectangle is a quadrilateral with opposite sides of equal length and with four right angles.
Square Root: A square root of x is a number r such that r*r = x.

Classroom Articles on Plane Geometry

  • Acute Angle
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  • Area
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  • Complementary Angles
  • Point
  • Diameter
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  • Geometric Construction
  • Supplementary Angles
  • Golden Rectangle
  • Triangle Inequality
  • Hypotenuse

  • Classroom Articles on Geometry (Up to Middle School Level)

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