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Diagonal of Golden Rectangle given short side Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2)))
d = sqrt(((b*[phi])^2)*(1+(1/[phi]^2)))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Short edge - Short edge is the shortest boundary line of a surface or plane. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Short edge: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt(((b*[phi])^2)*(1+(1/[phi]^2))) --> sqrt(((5*[phi])^2)*(1+(1/[phi]^2)))
Evaluating ... ...
d = 9.51056516295154
STEP 3: Convert Result to Output's Unit
9.51056516295154 Meter --> No Conversion Required
FINAL ANSWER
9.51056516295154 Meter <-- Diagonal
(Calculation completed in 00.013 seconds)

4 Diagonal of Golden Rectangle Calculators

Diagonal of Golden Rectangle given area
diagonal = sqrt(((sqrt(Area*[phi]))^2)*(1+(1/[phi]^2))) Go
Diagonal of Golden Rectangle given perimeter
diagonal = sqrt(((Perimeter/(2*(1+(1/[phi]))))^2)*(1+(1/[phi]^2))) Go
Diagonal of Golden Rectangle given short side
diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2))) Go
Diagonal of Golden Rectangle
diagonal = sqrt((Long edge^2)*(1+(1/[phi]^2))) Go

Diagonal of Golden Rectangle given short side Formula

diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2)))
d = sqrt(((b*[phi])^2)*(1+(1/[phi]^2)))

What is a golden rectangle?

In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1:1+sqrt(5)/2 which is 1:phi is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square are Golden rectangles as well. A distinctive feature of this shape is that when a square section is added—or removed—the product is another golden rectangle, having the same aspect ratio as the first. Square addition or removal can be repeated infinitely, in which case corresponding corners of the squares form an infinite sequence of points on the golden spiral, the unique logarithmic spiral with this property. Diagonal lines drawn between the first two orders of embedded golden rectangles will define the intersection point of the diagonals of all the embedded golden rectangles; Clifford A. Pickover referred to this point as "the Eye of God"

How to Calculate Diagonal of Golden Rectangle given short side?

Diagonal of Golden Rectangle given short side calculator uses diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2))) to calculate the Diagonal, The Diagonal of golden rectangle given short side formula is defined as a straight line joining two opposite corners of the golden rectangle , where diagonal = diagonal of golden rectangle , side_a =long side of golden rectangle. Diagonal and is denoted by d symbol.

How to calculate Diagonal of Golden Rectangle given short side using this online calculator? To use this online calculator for Diagonal of Golden Rectangle given short side, enter Short edge (b) and hit the calculate button. Here is how the Diagonal of Golden Rectangle given short side calculation can be explained with given input values -> 9.510565 = sqrt(((5*[phi])^2)*(1+(1/[phi]^2))).

FAQ

What is Diagonal of Golden Rectangle given short side?
The Diagonal of golden rectangle given short side formula is defined as a straight line joining two opposite corners of the golden rectangle , where diagonal = diagonal of golden rectangle , side_a =long side of golden rectangle and is represented as d = sqrt(((b*[phi])^2)*(1+(1/[phi]^2))) or diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2))). Short edge is the shortest boundary line of a surface or plane.
How to calculate Diagonal of Golden Rectangle given short side?
The Diagonal of golden rectangle given short side formula is defined as a straight line joining two opposite corners of the golden rectangle , where diagonal = diagonal of golden rectangle , side_a =long side of golden rectangle is calculated using diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2))). To calculate Diagonal of Golden Rectangle given short side, you need Short edge (b). With our tool, you need to enter the respective value for Short edge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diagonal?
In this formula, Diagonal uses Short edge. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • diagonal = sqrt((Long edge^2)*(1+(1/[phi]^2)))
  • diagonal = sqrt(((Short edge*[phi])^2)*(1+(1/[phi]^2)))
  • diagonal = sqrt(((Perimeter/(2*(1+(1/[phi]))))^2)*(1+(1/[phi]^2)))
  • diagonal = sqrt(((sqrt(Area*[phi]))^2)*(1+(1/[phi]^2)))
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