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Golden Rectangle Formula:
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A Golden Rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1:1.618. It is considered to be aesthetically pleasing and appears frequently in art, architecture, and nature.
The calculator uses the golden rectangle formula:
Where:
Explanation: This formula calculates the length of a golden rectangle when the area is known, maintaining the golden ratio proportion between length and width.
Constants Used: [phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Functions Used: sqrt - A square root function that takes a non-negative number as input and returns its square root.
Variables Used:
Tips: Enter the area of the golden rectangle in square meters. The value must be positive and non-zero.
Q1: What is the golden ratio?
A: The golden ratio (φ) is an irrational number approximately equal to 1.618 that appears frequently in mathematics, art, and nature.
Q2: How is the width calculated from the length?
A: In a golden rectangle, the width is equal to the length divided by the golden ratio (w = l/φ).
Q3: Where are golden rectangles commonly found?
A: Golden rectangles appear in famous artworks, architectural designs, and even in the proportions of credit cards and photographs.
Q4: What's special about the golden rectangle?
A: When a square is removed from a golden rectangle, the remaining rectangle is also a golden rectangle with the same proportions.
Q5: Is the golden ratio exactly 1.618?
A: No, the golden ratio is an irrational number that cannot be expressed exactly as a finite decimal. The value 1.618 is an approximation.