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

✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+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%

✖Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.ⓘ Length of Rectangle given Area and Angle between Diagonal and Length [l]

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Formula

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Length of Rectangle given Area and Angle between Diagonal and Length

Formula

l = \sqrt{\frac{A}{\tan (∠ dl)}}

Example

8.279559 m = \sqrt{\frac{48 m²}{\tan (35 °)}}

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Length of Rectangle))
l = sqrt(A/tan(∠_dl))
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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

Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary 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

Area of Rectangle: 48 Square Meter --> 48 Square 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

l = sqrt(A/tan(∠_dl)) --> sqrt(48/tan(0.610865238197901))

Evaluating ... ...

l = 8.27955942811199

STEP 3: Convert Result to Output's Unit

8.27955942811199 Meter --> No Conversion Required

FINAL ANSWER

8.27955942811199 ≈ 8.279559 Meter <-- Length of Rectangle

(Calculation completed in 00.004 seconds)

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< Length of Rectangle Calculators

Length of Rectangle given Diagonal and Obtuse Angle between Diagonals

Go Length of Rectangle = Diagonal of Rectangle*sin(Obtuse Angle between Diagonals of Rectangle/2)

Length of Rectangle given Diagonal and Breadth

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

Length of Rectangle given Perimeter and Breadth

Go Length of Rectangle = (Perimeter of Rectangle-(2*Breadth of Rectangle))/2

Length of Rectangle given Area and Breadth

Go Length of Rectangle = Area of Rectangle/Breadth of Rectangle

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

Length of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Length of Rectangle))
l = sqrt(A/tan(∠_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 Length of Rectangle given Area and Angle between Diagonal and Length?

Length of Rectangle given Area and Angle between Diagonal and Length calculator uses Length of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Length of Rectangle)) to calculate the Length of Rectangle, The Length of Rectangle given Area and Angle between Diagonal and Length formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using Area and Angle between Diagonal and Length of the Rectangle. Length of Rectangle is denoted by l symbol.

How to calculate Length of Rectangle given Area and Angle between Diagonal and Length using this online calculator? To use this online calculator for Length of Rectangle given Area and Angle between Diagonal and Length, enter Area of Rectangle (A) & Angle between Diagonal and Length of Rectangle (∠_dl) and hit the calculate button. Here is how the Length of Rectangle given Area and Angle between Diagonal and Length calculation can be explained with given input values -> 8.279559 = sqrt(48/tan(0.610865238197901)).

FAQ

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

The Length of Rectangle given Area and Angle between Diagonal and Length formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using Area and Angle between Diagonal and Length of the Rectangle and is represented as l = sqrt(A/tan(∠_dl)) or Length of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Length of Rectangle)). Area of Rectangle is the total quantity of plane enclosed by the boundary 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 Length of Rectangle given Area and Angle between Diagonal and Length?

The Length of Rectangle given Area and Angle between Diagonal and Length formula is defined as any one of the pair of parallel sides which are longer than the remaining pair of parallel sides and calculated using Area and Angle between Diagonal and Length of the Rectangle is calculated using Length of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Length of Rectangle)). To calculate Length of Rectangle given Area and Angle between Diagonal and Length, you need Area of Rectangle (A) & Angle between Diagonal and Length of Rectangle (∠_dl). With our tool, you need to enter the respective value for Area 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 Length of Rectangle?

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

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

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