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## Diagonal of a Square when perimeter is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal = (Perimeter/4)*sqrt(2)
d = (P/4)*sqrt(2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (P/4)*sqrt(2) --> (20/4)*sqrt(2)
Evaluating ... ...
d = 7.07106781186548
STEP 3: Convert Result to Output's Unit
7.07106781186548 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186548 Meter <-- Diagonal
(Calculation completed in 00.016 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Radius of rectangle circumscribed circle when perimeter and length of the rectangle are given
radius_of_circumscribed_circle = sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4 Go
Diagonal of a Rectangle when breadth and perimeter are given
diagonal = sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)) Go
Diagonal of a Rectangle when length and perimeter are given
diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) Go
Area of a Rectangle when breadth and perimeter are given
area = (Perimeter*(Breadth/2))-(Breadth)^2 Go
Area of rectangle when perimeter and breadth are given
area = (Perimeter*Breadth-2*(Breadth)^2)/2 Go
Area of a Rectangle when length and perimeter are given
area = (Perimeter*(Length/2))-(Length)^2 Go
Area of rectangle when perimeter and length are given
area = (Perimeter*Length-2*(Length)^2)/2 Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Breadth of rectangle when perimeter and length are given
breadth = (Perimeter-2*Length)/2 Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go
Area of a Square when perimeter is given
area = (1/16)*(Perimeter)^2 Go

## < 11 Other formulas that calculate the same Output

Diagonal of a Rectangle when breadth and perimeter are given
diagonal = sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)) Go
Diagonal of a Rectangle when length and perimeter are given
diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) Go
Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Diagonal of a Rectangle when length and breadth are given
diagonal = sqrt(Length^2+Breadth^2) Go
Rectangle diagonal in terms of sine of the angle
diagonal = Length/sin(Theta) Go
The maximum face diagonal length for cubes with a side length S
diagonal = Side*(sqrt(2)) Go
Diagonal of a Square when side is given
diagonal = Side*sqrt(2) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Diagonal of a Cube
diagonal = sqrt(3)*Side Go
Diagonal of the rectangle when the radius of the circumscribed circle is given
diagonal = 2*Radius Of Circumscribed Circle Go

### Diagonal of a Square when perimeter is given Formula

diagonal = (Perimeter/4)*sqrt(2)
d = (P/4)*sqrt(2)

## What is Diagonal of a Square when perimeter is given?

The line stretching from one corner of the square or rectangle to the opposite corner through the center of the figure is known as the diagonal. Any square that has two diagonals are equal in length to each other. To find the length of the diagonal of a square when a perimeter is given, take 1/4th of its perimeter and multiply it with the square root of 2.

## How to Calculate Diagonal of a Square when perimeter is given?

Diagonal of a Square when perimeter is given calculator uses diagonal = (Perimeter/4)*sqrt(2) to calculate the Diagonal, The diagonal of a square is a straight line joining two opposite corners of a square. Diagonal and is denoted by d symbol.

How to calculate Diagonal of a Square when perimeter is given using this online calculator? To use this online calculator for Diagonal of a Square when perimeter is given, enter Perimeter (P) and hit the calculate button. Here is how the Diagonal of a Square when perimeter is given calculation can be explained with given input values -> 7.071068 = (20/4)*sqrt(2).

### FAQ

What is Diagonal of a Square when perimeter is given?
The diagonal of a square is a straight line joining two opposite corners of a square and is represented as d = (P/4)*sqrt(2) or diagonal = (Perimeter/4)*sqrt(2). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Diagonal of a Square when perimeter is given?
The diagonal of a square is a straight line joining two opposite corners of a square is calculated using diagonal = (Perimeter/4)*sqrt(2). To calculate Diagonal of a Square when perimeter is given, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter. We can use 11 other way(s) to calculate the same, which is/are as follows -
• diagonal = Side*sqrt(2)
• diagonal = sqrt(Length^2+Breadth^2)
• diagonal = sqrt(3)*Side
• diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2)
• diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2)
• diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
• diagonal = sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4))
• diagonal = sqrt(2*Area)
• diagonal = Side*(sqrt(2))
• diagonal = 2*Radius Of Circumscribed Circle
• diagonal = Length/sin(Theta) Let Others Know
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