Diagonal of Golden Rectangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle
d = sqrt(1+1/[phi]^2)*l
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diagonal of Golden Rectangle - (Measured in Meter) - The Diagonal of Golden Rectangle is the distance between any pair of opposite vertices of Golden Rectangle.
Length of Golden Rectangle - (Measured in Meter) - The Length of Golden Rectangle is the length of the longest edge of the Golden Rectangle.
STEP 1: Convert Input(s) to Base Unit
Length of Golden Rectangle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt(1+1/[phi]^2)*l --> sqrt(1+1/[phi]^2)*10
Evaluating ... ...
d = 11.7557050458495
STEP 3: Convert Result to Output's Unit
11.7557050458495 Meter --> No Conversion Required
FINAL ANSWER
11.7557050458495 11.75571 Meter <-- Diagonal of Golden Rectangle
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

4 Diagonal of Golden Rectangle Calculators

Diagonal of Golden Rectangle given Area
Go Diagonal of Golden Rectangle = sqrt(([phi]+1/[phi])*Area of Golden Rectangle)
Diagonal of Golden Rectangle given Perimeter
Go Diagonal of Golden Rectangle = (sqrt([phi]^2+1))/(2*([phi]+1))*Perimeter of Golden Rectangle
Diagonal of Golden Rectangle
Go Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle
Diagonal of Golden Rectangle given Breadth
Go Diagonal of Golden Rectangle = sqrt([phi]^2+1)*Breadth of Golden Rectangle

Diagonal of Golden Rectangle Formula

Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle
d = sqrt(1+1/[phi]^2)*l

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?

Diagonal of Golden Rectangle calculator uses Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle to calculate the Diagonal of Golden Rectangle, The Diagonal of Golden Rectangle formula is defined as the distance between any pair of opposite vertices of Golden Rectangle. Diagonal of Golden Rectangle is denoted by d symbol.

How to calculate Diagonal of Golden Rectangle using this online calculator? To use this online calculator for Diagonal of Golden Rectangle, enter Length of Golden Rectangle (l) and hit the calculate button. Here is how the Diagonal of Golden Rectangle calculation can be explained with given input values -> 11.75571 = sqrt(1+1/[phi]^2)*10.

FAQ

What is Diagonal of Golden Rectangle?
The Diagonal of Golden Rectangle formula is defined as the distance between any pair of opposite vertices of Golden Rectangle and is represented as d = sqrt(1+1/[phi]^2)*l or Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle. The Length of Golden Rectangle is the length of the longest edge of the Golden Rectangle.
How to calculate Diagonal of Golden Rectangle?
The Diagonal of Golden Rectangle formula is defined as the distance between any pair of opposite vertices of Golden Rectangle is calculated using Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle. To calculate Diagonal of Golden Rectangle, you need Length of Golden Rectangle (l). With our tool, you need to enter the respective value for Length of Golden Rectangle 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 of Golden Rectangle?
In this formula, Diagonal of Golden Rectangle uses Length of Golden Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diagonal of Golden Rectangle = sqrt([phi]^2+1)*Breadth of Golden Rectangle
  • Diagonal of Golden Rectangle = (sqrt([phi]^2+1))/(2*([phi]+1))*Perimeter of Golden Rectangle
  • Diagonal of Golden Rectangle = sqrt(([phi]+1/[phi])*Area of Golden Rectangle)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!