Diagonal of a Rectangle when length and perimeter are given Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	Diagonal Formula ↺
Diagonal Formula	Diagonal of a Rectangle ↺

✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%
✖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 Rectangle when length and perimeter are given [d]

⎘ Copy

👎

Formula

Reset

👍

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 Rectangle when length and perimeter are given Solution

STEP 0: Pre-Calculation Summary

Formula Used

diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
d = sqrt((2*(l)^2)-(P*l)+((P)^2/4))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
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

Length: 3 Meter --> 3 Meter No Conversion Required
Perimeter: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((2*(l)^2)-(P*l)+((P)^2/4)) --> sqrt((2*(3)^2)-(20*3)+((20)^2/4))

Evaluating ... ...

d = 7.61577310586391

STEP 3: Convert Result to Output's Unit

7.61577310586391 Meter --> No Conversion Required

FINAL ANSWER

7.61577310586391 Meter <-- Diagonal

(Calculation completed in 00.016 seconds)

You are here

Home »
Math »
Geometry »
Diagonal Formula »
Diagonal of a Rectangle »
Diagonal of a Rectangle when length and perimeter are given

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

Surface Area of a Rectangular Prism

surface_area = 2*(Length*Width+Length*Height+Width*Height) Go

Magnetic Flux

magnetic_flux = Magnetic Field*Length*Breadth*cos(θ) Go

Perimeter of a rectangle when diagonal and length are given

perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go

Area of a Rectangle when length and diagonal are given

area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go

Diagonal of a Rectangle when length and breadth are given

diagonal = sqrt(Length^2+Breadth^2) Go

Volume of a Rectangular Prism

volume = Width*Height*Length Go

Strain

strain = Change In Length/Length Go

Surface Tension

surface_tension = Force/Length Go

Perimeter of a rectangle when length and width are given

perimeter = 2*Length+2*Width Go

Area of a Rectangle when length and breadth are given

area = Length*Breadth 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 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

Diagonal of a Square when perimeter is given

diagonal = (Perimeter/4)*sqrt(2) 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 Rectangle when length and perimeter are given Formula

diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
d = sqrt((2*(l)^2)-(P*l)+((P)^2/4))

What is Diagonal of a Rectangle when length and perimeter are given?

A diagonal of a rectangle cut the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is diagonal. To find the diagonal of a rectangle formula, you can divide a rectangle into two congruent right triangles, i.e., triangles with one angle of 90°, and use the Pythagorean theorem to estimate the diagonal of a rectangle.

How to Calculate Diagonal of a Rectangle when length and perimeter are given?

Diagonal of a Rectangle when length and perimeter are given calculator uses diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) to calculate the Diagonal, The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle. Diagonal and is denoted by d symbol.

How to calculate Diagonal of a Rectangle when length and perimeter are given using this online calculator? To use this online calculator for Diagonal of a Rectangle when length and perimeter are given, enter Length (l) and Perimeter (P) and hit the calculate button. Here is how the Diagonal of a Rectangle when length and perimeter are given calculation can be explained with given input values -> 7.615773 = sqrt((2*(3)^2)-(20*3)+((20)^2/4)).

FAQ

What is Diagonal of a Rectangle when length and perimeter are given?

The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle and is represented as d = sqrt((2*(l)^2)-(P*l)+((P)^2/4)) or diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)). Length is the measurement or extent of something from end to end and The perimeter of a figure is the total distance around the edge of the figure.

How to calculate Diagonal of a Rectangle when length and perimeter are given?

The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle is calculated using diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)). To calculate Diagonal of a Rectangle when length and perimeter are given, you need Length (l) and Perimeter (P). With our tool, you need to enter the respective value for Length and 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 Length and 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*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4))
diagonal = sqrt(2*Area)
diagonal = (Perimeter/4)*sqrt(2)
diagonal = Side*(sqrt(2))
diagonal = 2*Radius Of Circumscribed Circle
diagonal = Length/sin(Theta)

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!