Diagonal of a Square when perimeter is given Calculator

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✖The perimeter of a figure is the total distance around the edge of the figure.ⓘ Perimeter [P]

+10%

-10%

✖A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape.ⓘ Diagonal of a Square when perimeter is given [d]

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Credits

Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 500+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

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)

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Diagonal of a Square when perimeter is given

< 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)

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