Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length Calculator

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+10% -10%
✖Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.ⓘ Angle between Diagonal and Length of Rectangle [∠_dl]			+10% -10%

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

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Formula

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Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length

Formula

`"d" = "P"/2*1/(sqrt(1+sin(2*"∠"_{"dl"})))`

Example

`"10.05221m"="28m"/2*1/(sqrt(1+sin(2*"35°")))`

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Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle)))
d = P/2*1/(sqrt(1+sin(2*∠_dl)))
This formula uses 2 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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.
Angle between Diagonal and Length of Rectangle - (Measured in Radian) - Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required
Angle between Diagonal and Length of Rectangle: 35 Degree --> 0.610865238197901 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = P/2*1/(sqrt(1+sin(2*∠_dl))) --> 28/2*1/(sqrt(1+sin(2*0.610865238197901)))

Evaluating ... ...

d = 10.0522106028639

STEP 3: Convert Result to Output's Unit

10.0522106028639 Meter --> No Conversion Required

FINAL ANSWER

10.0522106028639 ≈ 10.05221 Meter <-- Diagonal of Rectangle

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 23 Diagonal of Rectangle Calculators

Diagonal of Rectangle given Area and Angle between Diagonal and Breadth

Go Diagonal of Rectangle = (sqrt(Area of Rectangle*cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)))/(cos((pi/2)-Angle between Diagonal and Breadth of Rectangle))

Diagonal of Rectangle given Area and Obtuse Angle between Diagonals

Go Diagonal of Rectangle = (sqrt(Area of Rectangle*cot((pi-Obtuse Angle between Diagonals of Rectangle)/2)))/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))

Diagonal of Rectangle given Area and Angle between Diagonal and Length

Go Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle))

Diagonal of Rectangle given Area and Acute Angle between Diagonals

Go Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))

Diagonal of Rectangle given Perimeter and Breadth

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 Perimeter and Length

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

Diagonal of Rectangle given Perimeter and Angle between Diagonal and Breadth

Go Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi/2)-Angle between Diagonal and Breadth of Rectangle))))

Diagonal of Rectangle given Perimeter and Obtuse Angle between Diagonals

Go Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi-Obtuse Angle between Diagonals of Rectangle)/2))))

Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length

Go Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle)))

Diagonal of Rectangle given Perimeter and Acute Angle between Diagonals

Go Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2))))

Diagonal of Rectangle given Length and Angle between Diagonal and Breadth

Go Diagonal of Rectangle = Length of Rectangle*sec((pi/2)-Angle between Diagonal and Breadth of Rectangle)

Diagonal of Rectangle given Breadth and Obtuse Angle between Diagonals

Go Diagonal of Rectangle = Breadth of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)

Diagonal of Rectangle given Length and Obtuse Angle between Diagonals

Go Diagonal of Rectangle = Length of Rectangle/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))

Diagonal of Rectangle given Area and Breadth

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

Diagonal of Rectangle given Area and Length

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

Diagonal of Rectangle given Breadth and Angle between Diagonal and Length

Go Diagonal of Rectangle = Breadth of Rectangle*cosec(Angle between Diagonal and Length of Rectangle)

Diagonal of Rectangle given Angle between Breadth and Diagonal

Go Diagonal of Rectangle = Breadth of Rectangle/cos(Angle between Diagonal and Breadth of Rectangle)

Diagonal of Rectangle given Breadth and Acute Angle between Diagonals

Go Diagonal of Rectangle = Breadth of Rectangle*cosec(Acute Angle between Diagonals of Rectangle/2)

Diagonal of Rectangle given Length and Acute Angle between Diagonals

Go Diagonal of Rectangle = Length of Rectangle/(cos(Acute Angle between Diagonals of Rectangle/2))

Diagonal of Rectangle given Angle between Length and Diagonal

Go Diagonal of Rectangle = Length of Rectangle/cos(Angle between Diagonal and Length of Rectangle)

Diagonal of Rectangle given Area and Perimeter

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

Diagonal of Rectangle

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

Diagonal of Rectangle given Circumradius

Go Diagonal of Rectangle = 2*Circumradius of Rectangle

Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length Formula

Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle)))
d = P/2*1/(sqrt(1+sin(2*∠_dl)))

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 Perimeter and Angle between Diagonal and Length?

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

How to calculate Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length using this online calculator? To use this online calculator for Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length, enter Perimeter of Rectangle (P) & Angle between Diagonal and Length of Rectangle (∠_dl) and hit the calculate button. Here is how the Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length calculation can be explained with given input values -> 10.05221 = 28/2*1/(sqrt(1+sin(2*0.610865238197901))).

FAQ

What is Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length?

The Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using Perimeter and Angle between Diagonal and Length of the Rectangle and is represented as d = P/2*1/(sqrt(1+sin(2*∠_dl))) or Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle))). Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle & Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.

How to calculate Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length?

The Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using Perimeter and Angle between Diagonal and Length of the Rectangle is calculated using Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*Angle between Diagonal and Length of Rectangle))). To calculate Diagonal of Rectangle given Perimeter and Angle between Diagonal and Length, you need Perimeter of Rectangle (P) & Angle between Diagonal and Length of Rectangle (∠_dl). With our tool, you need to enter the respective value for Perimeter of Rectangle & Angle between Diagonal and Length 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 & Angle between Diagonal and Length of Rectangle. We can use 22 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)
Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)
Diagonal of Rectangle = sqrt((2*Length of Rectangle^2)-(Perimeter of Rectangle*Length of Rectangle)+(Perimeter of Rectangle^2/4))
Diagonal of Rectangle = 2*Circumradius of Rectangle
Diagonal of Rectangle = Breadth of Rectangle/cos(Angle between Diagonal and Breadth of Rectangle)
Diagonal of Rectangle = Length of Rectangle/cos(Angle between Diagonal and Length of Rectangle)
Diagonal of Rectangle = Length of Rectangle/(cos(Acute Angle between Diagonals of Rectangle/2))
Diagonal of Rectangle = 1/2*sqrt(Perimeter of Rectangle^2-(8*Area of Rectangle))
Diagonal of Rectangle = (sqrt(Area of Rectangle*cot((pi/2)-Angle between Diagonal and Breadth of Rectangle)))/(cos((pi/2)-Angle between Diagonal and Breadth of Rectangle))
Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))
Diagonal of Rectangle = (sqrt(Area of Rectangle*cot((pi-Obtuse Angle between Diagonals of Rectangle)/2)))/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi/2)-Angle between Diagonal and Breadth of Rectangle))))
Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*(Acute Angle between Diagonals of Rectangle/2))))
Diagonal of Rectangle = Perimeter of Rectangle/2*1/(sqrt(1+sin(2*((pi-Obtuse Angle between Diagonals of Rectangle)/2))))
Diagonal of Rectangle = Length of Rectangle*sec((pi/2)-Angle between Diagonal and Breadth of Rectangle)
Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Angle between Diagonal and Length of Rectangle)))/(cos(Angle between Diagonal and Length of Rectangle))
Diagonal of Rectangle = Length of Rectangle/(cos((pi-Obtuse Angle between Diagonals of Rectangle)/2))
Diagonal of Rectangle = Breadth of Rectangle*cosec(Angle between Diagonal and Length of Rectangle)
Diagonal of Rectangle = Breadth of Rectangle*cosec((pi-Obtuse Angle between Diagonals of Rectangle)/2)
Diagonal of Rectangle = Breadth of Rectangle*cosec(Acute Angle between Diagonals of Rectangle/2)

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