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Perimeter of a square when diagonal is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
perimeter = 4*(Diagonal/sqrt(2))
P = 4*(d/sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal - A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 4*(d/sqrt(2)) --> 4*(8/sqrt(2))
Evaluating ... ...
P = 22.6274169979695
STEP 3: Convert Result to Output's Unit
22.6274169979695 Meter --> No Conversion Required
FINAL ANSWER
22.6274169979695 Meter <-- Perimeter
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Perimeter of a rectangle when diagonal and length are given
perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go
Perimeter of rectangle when diagonal and width are given
perimeter = 2*(sqrt((Diagonal)^2-(Width)^2)+Width) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Length of rectangle when diagonal and angle between two diagonal are given
length = Diagonal*sin(sinϑ/2) Go
Breadth of rectangle when diagonal and angle between diagonal and length are given
breadth = Diagonal*sin(sinϑ) Go
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
length = Diagonal*sin(sinϑ) Go
Length of rectangle when diagonal and breadth are given
length = sqrt(Diagonal^2-Breadth^2) Go
Breadth of rectangle when diagonal and length are given
breadth = sqrt(Diagonal^2-Length^2) Go
Breadth of rectangle when diagonal and angle between diagonals are given
breadth = Diagonal*cos(Theta/2) Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go

11 Other formulas that calculate the same Output

Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Perimeter of a rectangle when diagonal and length are given
perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go
Perimeter Of Parallelepiped
perimeter = 4*Side A+4*Side B+4*Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of a rectangle when length and width are given
perimeter = 2*Length+2*Width Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Perimeter of a Cube
perimeter = 12*Side Go
Perimeter of a square when side is given
perimeter = 4*Side Go
Perimeter of an Equilateral Triangle
perimeter = 3*Side Go
Perimeter of a Rhombus
perimeter = 4*Side Go

Perimeter of a square when diagonal is given Formula

perimeter = 4*(Diagonal/sqrt(2))
P = 4*(d/sqrt(2))

What is Perimeter of a Square?

The perimeter of a square is the total length of all the sides of the square. So, we can find the perimeter of a square by adding all its four sides and since a square is a type of rectangle in which the adjacent sides are equal, hence its perimeter will be 4 times its side, i.e. 4 × Side. But for finding the perimeter using diagonal, we can divide the diagonal by a square root of 2 and multiply it with 4.

How to Calculate Perimeter of a square when diagonal is given?

Perimeter of a square when diagonal is given calculator uses perimeter = 4*(Diagonal/sqrt(2)) to calculate the Perimeter, The perimeter of a square is the total length of all the sides of the square. Perimeter and is denoted by P symbol.

How to calculate Perimeter of a square when diagonal is given using this online calculator? To use this online calculator for Perimeter of a square when diagonal is given, enter Diagonal (d) and hit the calculate button. Here is how the Perimeter of a square when diagonal is given calculation can be explained with given input values -> 22.62742 = 4*(8/sqrt(2)).

FAQ

What is Perimeter of a square when diagonal is given?
The perimeter of a square is the total length of all the sides of the square and is represented as P = 4*(d/sqrt(2)) or perimeter = 4*(Diagonal/sqrt(2)). A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape.
How to calculate Perimeter of a square when diagonal is given?
The perimeter of a square is the total length of all the sides of the square is calculated using perimeter = 4*(Diagonal/sqrt(2)). To calculate Perimeter of a square when diagonal is given, you need Diagonal (d). With our tool, you need to enter the respective value for Diagonal 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 Perimeter?
In this formula, Perimeter uses Diagonal. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • perimeter = 2*Length+2*Width
  • perimeter = 4*Side
  • perimeter = 3*Side
  • perimeter = 2*Side A+2*Side B
  • perimeter = 4*Side
  • perimeter = Side A+2*Side B
  • perimeter = Side A+Side B+sqrt(Side A^2+Side B^2)
  • perimeter = 12*Side
  • perimeter = 2*(Side A+Side B)
  • perimeter = 4*Side A+4*Side B+4*Side C
  • perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2))
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