Diagonal of Rectangle given Area and Perimeter Calculator

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+10% -10%
✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+10% -10%

✖Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.ⓘ Diagonal of Rectangle given Area and Perimeter [d]

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Diagonal of Rectangle given Area and Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
d = 1/2*sqrt(P^2-(8*A))
This formula uses 1 Functions, 3 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 Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = 1/2*sqrt(P^2-(8*A)) --> 1/2*sqrt(28^2-(8*48))

Evaluating ... ...

d = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Diagonal of Rectangle

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< Diagonal of Rectangle Calculators

Diagonal of Rectangle given Perimeter and Breadth

LaTeX Go Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))

Diagonal of Rectangle given Area and Breadth

LaTeX Go Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)

Diagonal of Rectangle given Area and Length

LaTeX Go Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)

Diagonal of Rectangle

LaTeX Go Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

Diagonal of Rectangle given Area and Perimeter Formula

LaTeX Go

Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
d = 1/2*sqrt(P^2-(8*A))

What is a Rectangle?

A Rectangle is a two dimensional geometric shape having four sides and four corners. The four sides are in two pairs, in which each pair of lines are equal in length and parallel to each other. And adjacent sides are perpendicular to each other. In general a 2D shape with four boundary edges are called quadrilaterals. So a rectangle is a quadrilateral in which each corner is right angle.

How to Calculate Diagonal of Rectangle given Area and Perimeter?

Diagonal of Rectangle given Area and Perimeter calculator uses Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)) to calculate the Diagonal of Rectangle, The Diagonal of Rectangle given Area and Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Perimeter of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

How to calculate Diagonal of Rectangle given Area and Perimeter using this online calculator? To use this online calculator for Diagonal of Rectangle given Area and Perimeter, enter Perimeter of Rectangle (P) & Area of Rectangle (A) and hit the calculate button. Here is how the Diagonal of Rectangle given Area and Perimeter calculation can be explained with given input values -> 10 = 1/2*sqrt(28^2-(8*48)).

FAQ

What is Diagonal of Rectangle given Area and Perimeter?

The Diagonal of Rectangle given Area and Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Perimeter of the Rectangle and is represented as d = 1/2*sqrt(P^2-(8*A)) or Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

How to calculate Diagonal of Rectangle given Area and Perimeter?

The Diagonal of Rectangle given Area and Perimeter formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Perimeter of the Rectangle is calculated using Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle)). To calculate Diagonal of Rectangle given Area and Perimeter, you need Perimeter of Rectangle (P) & Area of Rectangle (A). With our tool, you need to enter the respective value for Perimeter of Rectangle & Area of Rectangle 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 Rectangle?

In this formula, Diagonal of Rectangle uses Perimeter of Rectangle & Area of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))
Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)

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