Diagonal of Rectangle given Area and Acute Angle between Diagonals Calculator

✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+10% -10%
✖Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.ⓘ Acute Angle between Diagonals of Rectangle [∠_d(Acute)]			+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 Acute Angle between Diagonals [d]

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Diagonal of Rectangle given Area and Acute Angle between Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2))
d = (sqrt(A*cot(∠_d(Acute)/2)))/(cos(∠_d(Acute)/2))
This formula uses 3 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.
Acute Angle between Diagonals of Rectangle - (Measured in Radian) - Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.

STEP 1: Convert Input(s) to Base Unit

Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required
Acute Angle between Diagonals of Rectangle: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (sqrt(A*cot(∠_d(Acute)/2)))/(cos(∠_d(Acute)/2)) --> (sqrt(48*cot(1.2217304763958/2)))/(cos(1.2217304763958/2))

Evaluating ... ...

d = 10.1074757559786

STEP 3: Convert Result to Output's Unit

10.1074757559786 Meter --> No Conversion Required

FINAL ANSWER

10.1074757559786 ≈ 10.10748 Meter <-- Diagonal of Rectangle

(Calculation completed in 00.004 seconds)

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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

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< Diagonal of Rectangle Calculators

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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 Acute Angle between Diagonals Formula

LaTeX Go

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 Acute Angle between Diagonals?

Diagonal of Rectangle given Area and Acute Angle between Diagonals calculator uses Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2)) to calculate the Diagonal of Rectangle, The Diagonal of Rectangle given Area and Acute Angle between Diagonals formula is defined as length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Acute Angle between Diagonals of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

How to calculate Diagonal of Rectangle given Area and Acute Angle between Diagonals using this online calculator? To use this online calculator for Diagonal of Rectangle given Area and Acute Angle between Diagonals, enter Area of Rectangle (A) & Acute Angle between Diagonals of Rectangle (∠_d(Acute)) and hit the calculate button. Here is how the Diagonal of Rectangle given Area and Acute Angle between Diagonals calculation can be explained with given input values -> 10.10748 = (sqrt(48*cot(1.2217304763958/2)))/(cos(1.2217304763958/2)).

FAQ

What is Diagonal of Rectangle given Area and Acute Angle between Diagonals?

The Diagonal of Rectangle given Area and Acute Angle between Diagonals formula is defined as length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Acute Angle between Diagonals of the Rectangle and is represented as d = (sqrt(A*cot(∠_d(Acute)/2)))/(cos(∠_d(Acute)/2)) or Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2)). Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle & Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.

How to calculate Diagonal of Rectangle given Area and Acute Angle between Diagonals?

The Diagonal of Rectangle given Area and Acute Angle between Diagonals formula is defined as length of the line joining any pair of opposite vertices of the Rectangle and calculated using Area and Acute Angle between Diagonals of the Rectangle is calculated using Diagonal of Rectangle = (sqrt(Area of Rectangle*cot(Acute Angle between Diagonals of Rectangle/2)))/(cos(Acute Angle between Diagonals of Rectangle/2)). To calculate Diagonal of Rectangle given Area and Acute Angle between Diagonals, you need Area of Rectangle (A) & Acute Angle between Diagonals of Rectangle (∠_d(Acute)). With our tool, you need to enter the respective value for Area of Rectangle & Acute Angle between Diagonals 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 Area of Rectangle & Acute Angle between Diagonals 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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