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

GoLength of Rectangle given Area and Breadth Formula

GoLength of Rectangle given Perimeter and Breadth Formula

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Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides. Check FAQs

l = \sqrt{\tan (∠ db) \cdot A}

l - Length of Rectangle?∠_db - Angle between Diagonal and Breadth of Rectangle?A - Area of Rectangle?

Length of Rectangle given Area and Angle between Diagonal and Breadth Example

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Here is how the Length of Rectangle given Area and Angle between Diagonal and Breadth equation looks like with Values.

Here is how the Length of Rectangle given Area and Angle between Diagonal and Breadth equation looks like with Units.

Here is how the Length of Rectangle given Area and Angle between Diagonal and Breadth equation looks like.

8.2796 = \sqrt{\tan (55) \cdot 48}

8.2796m = \sqrt{\tan (55°) \cdot 48m²}

8.2796 = \sqrt{\tan (55) \cdot 48}

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

Follow our step by step solution on how to calculate Length of Rectangle given Area and Angle between Diagonal and Breadth?

FIRST Step Consider the formula

l = \sqrt{\tan (∠ db) \cdot A}

Next Step Substitute values of Variables

∴

l = \sqrt{\tan (55°) \cdot 48m²}

Next Step Convert Units

∴

l = \sqrt{\tan (0.9599rad) \cdot 48m²}

Next Step Prepare to Evaluate

∴

l = \sqrt{\tan (0.9599) \cdot 48}

Next Step Evaluate

∴

l = 8.2795594281094m

LAST Step Rounding Answer

∴

l = 8.2796m

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

Variables

Functions

Length of Rectangle

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangle

Angle between Diagonal and Breadth of Rectangle

Angle between Diagonal and Breadth of Rectangle is the measure of wideness of the angle made by any diagonal with the breadth of the Rectangle.

Symbol: ∠_db

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and Breadth of Rectangle

Area of Rectangle

Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Rectangle

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.

Syntax: 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.

Syntax: sqrt(Number)

Other Formulas to find Length of Rectangle

Go Length of Rectangle given Area and Breadth

l = \frac{A}{b}

Go Length of Rectangle given Perimeter and Breadth

l = \frac{P - (2 \cdot b)}{2}

Go Length of Rectangle given Diagonal and Breadth

l = \sqrt{d^{2} - b^{2}}

Go Length of Rectangle given Diagonal and Obtuse Angle between Diagonals

l = d \cdot \sin (\frac{∠ d(Obtuse)}{2})

How to Evaluate Length of Rectangle given Area and Angle between Diagonal and Breadth?

Length of Rectangle given Area and Angle between Diagonal and Breadth evaluator uses Length of Rectangle = sqrt(tan(Angle between Diagonal and Breadth of Rectangle)*Area of Rectangle) to evaluate the Length of Rectangle, The Length of Rectangle given Area and Angle between Diagonal and Breadth 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 Breadth of the Rectangle. Length of Rectangle is denoted by l symbol.

How to evaluate Length of Rectangle given Area and Angle between Diagonal and Breadth using this online evaluator? To use this online evaluator for Length of Rectangle given Area and Angle between Diagonal and Breadth, enter Angle between Diagonal and Breadth of Rectangle (∠_db) & Area of Rectangle (A) and hit the calculate button.

FAQs on Length of Rectangle given Area and Angle between Diagonal and Breadth

What is the formula to find Length of Rectangle given Area and Angle between Diagonal and Breadth?

The formula of Length of Rectangle given Area and Angle between Diagonal and Breadth is expressed as Length of Rectangle = sqrt(tan(Angle between Diagonal and Breadth of Rectangle)*Area of Rectangle). Here is an example- 8.279559 = sqrt(tan(0.959931088596701)*48).

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

With Angle between Diagonal and Breadth of Rectangle (∠_db) & Area of Rectangle (A) we can find Length of Rectangle given Area and Angle between Diagonal and Breadth using the formula - Length of Rectangle = sqrt(tan(Angle between Diagonal and Breadth of Rectangle)*Area of Rectangle). This formula also uses Tangent (tan), Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Rectangle?

Here are the different ways to Calculate Length of Rectangle-

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)

Can the Length of Rectangle given Area and Angle between Diagonal and Breadth be negative?

No, the Length of Rectangle given Area and Angle between Diagonal and Breadth, measured in Length cannot be negative.

Which unit is used to measure Length of Rectangle given Area and Angle between Diagonal and Breadth?

Length of Rectangle given Area and Angle between Diagonal and Breadth is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Rectangle given Area and Angle between Diagonal and Breadth can be measured.

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