Diagonal of Square given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal of Square = Perimeter of Square/(2*sqrt(2))
d = P/(2*sqrt(2))
This formula uses 1 Functions, 2 Variables
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 Square - (Measured in Meter) - The Diagonal of Square is the length of the line joining any pair of opposite vertices of the Square.
Perimeter of Square - (Measured in Meter) - The Perimeter of Square is the total length of all the boundary lines of the Square.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Square: 40 Meter --> 40 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = P/(2*sqrt(2)) --> 40/(2*sqrt(2))
Evaluating ... ...
d = 14.1421356237309
STEP 3: Convert Result to Output's Unit
14.1421356237309 Meter --> No Conversion Required
FINAL ANSWER
14.1421356237309 14.14214 Meter <-- Diagonal of Square
(Calculation completed in 00.020 seconds)

Credits

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7 Diagonal of Square Calculators

Diagonal of Square given Diameter of Incircle
Go Diagonal of Square = sqrt(2)*Diameter of Incircle of Square
Diagonal of Square given Perimeter
Go Diagonal of Square = Perimeter of Square/(2*sqrt(2))
Diagonal of Square
Go Diagonal of Square = sqrt(2)*Edge Length of Square
Diagonal of Square given Inradius
Go Diagonal of Square = 2*sqrt(2)*Inradius of Square
Diagonal of Square given Area
Go Diagonal of Square = sqrt(2*Area of Square)
Diagonal of Square given Diameter of Circumcircle
Go Diagonal of Square = Diameter of Circumcircle of Square/1
Diagonal of Square given Circumradius
Go Diagonal of Square = 2*Circumradius of Square

Diagonal of Square given Perimeter Formula

Diagonal of Square = Perimeter of Square/(2*sqrt(2))
d = P/(2*sqrt(2))

What is Diagonal of a Square when perimeter is given?

A Square is a quadrilateral with all the sides are equal and all the angles are equal. To be precise, all the angles will be 90°. In other words, a four sided regular polygon is called Square. This is a fundamental shape in geometry.

How to Calculate Diagonal of Square given Perimeter?

Diagonal of Square given Perimeter calculator uses Diagonal of Square = Perimeter of Square/(2*sqrt(2)) to calculate the Diagonal of Square, Diagonal of Square given Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Square, calculated using the perimeter of the Square. Diagonal of Square is denoted by d symbol.

How to calculate Diagonal of Square given Perimeter using this online calculator? To use this online calculator for Diagonal of Square given Perimeter, enter Perimeter of Square (P) and hit the calculate button. Here is how the Diagonal of Square given Perimeter calculation can be explained with given input values -> 14.14214 = 40/(2*sqrt(2)).

FAQ

What is Diagonal of Square given Perimeter?
Diagonal of Square given Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Square, calculated using the perimeter of the Square and is represented as d = P/(2*sqrt(2)) or Diagonal of Square = Perimeter of Square/(2*sqrt(2)). The Perimeter of Square is the total length of all the boundary lines of the Square.
How to calculate Diagonal of Square given Perimeter?
Diagonal of Square given Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Square, calculated using the perimeter of the Square is calculated using Diagonal of Square = Perimeter of Square/(2*sqrt(2)). To calculate Diagonal of Square given Perimeter, you need Perimeter of Square (P). With our tool, you need to enter the respective value for Perimeter of Square 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 Square?
In this formula, Diagonal of Square uses Perimeter of Square. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Diagonal of Square = 2*Circumradius of Square
  • Diagonal of Square = 2*sqrt(2)*Inradius of Square
  • Diagonal of Square = Diameter of Circumcircle of Square/1
  • Diagonal of Square = sqrt(2)*Diameter of Incircle of Square
  • Diagonal of Square = sqrt(2*Area of Square)
  • Diagonal of Square = sqrt(2)*Edge Length of Square
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