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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)

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)
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