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Diagonal of a Rectangle when length and area are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2)
d = sqrt(((A)^2/(l)^2)+(l)^2)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt(((A)^2/(l)^2)+(l)^2) --> sqrt(((50)^2/(3)^2)+(3)^2)
Evaluating ... ...
d = 16.9345143945074
STEP 3: Convert Result to Output's Unit
16.9345143945074 Meter --> No Conversion Required
FINAL ANSWER
16.9345143945074 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
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
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area 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 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 area are given Formula

diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2)
d = sqrt(((A)^2/(l)^2)+(l)^2)

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

Diagonal of a Rectangle when length and area are given calculator uses diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) 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 area are given using this online calculator? To use this online calculator for Diagonal of a Rectangle when length and area are given, enter Area (A) and Length (l) and hit the calculate button. Here is how the Diagonal of a Rectangle when length and area are given calculation can be explained with given input values -> 16.93451 = sqrt(((50)^2/(3)^2)+(3)^2).

FAQ

What is Diagonal of a Rectangle when length and area are given?
The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle and is represented as d = sqrt(((A)^2/(l)^2)+(l)^2) or diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2). The area is the amount of two-dimensional space taken up by an object and Length is the measurement or extent of something from end to end.
How to calculate Diagonal of a Rectangle when length and area are given?
The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle is calculated using diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2). To calculate Diagonal of a Rectangle when length and area are given, you need Area (A) and Length (l). With our tool, you need to enter the respective value for Area and Length 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 Area and Length. 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((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
  • 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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