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

GoBreadth of Rectangle given Area Formula

GoBreadth of Rectangle given Diagonal and Obtuse Angle between Diagonals Formula

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

b = \sqrt{\frac{A}{\tan (∠ db)}}

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

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

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

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

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

5.7974 = \sqrt{\frac{48}{\tan (55)}}

5.7974m = \sqrt{\frac{48m²}{\tan (55°)}}

5.7974 = \sqrt{\frac{48}{\tan (55)}}

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

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

FIRST Step Consider the formula

b = \sqrt{\frac{A}{\tan (∠ db)}}

Next Step Substitute values of Variables

∴

b = \sqrt{\frac{48m²}{\tan (55°)}}

Next Step Convert Units

∴

b = \sqrt{\frac{48m²}{\tan (0.9599rad)}}

Next Step Prepare to Evaluate

∴

b = \sqrt{\frac{48}{\tan (0.9599)}}

Next Step Evaluate

∴

b = 5.7974099246197m

LAST Step Rounding Answer

∴

b = 5.7974m

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

Variables

Functions

Breadth of Rectangle

Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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

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

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 Breadth of Rectangle

Go Breadth of Rectangle given Area

b = \frac{A}{l}

Go Breadth of Rectangle given Diagonal and Obtuse Angle between Diagonals

b = d \cdot \cos (\frac{∠ d(Obtuse)}{2})

Go Breadth of Rectangle given Diagonal and Acute Angle between Diagonals

b = d \cdot \sin (\frac{∠ d(Acute)}{2})

Go Breadth of Rectangle given Perimeter

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

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

Breadth of Rectangle given Area and Angle between Diagonal and Breadth evaluator uses Breadth of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Breadth of Rectangle)) to evaluate the Breadth of Rectangle, The Breadth of Rectangle given Area and Angle between Diagonal and Breadth formula is defined as any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides, and calculated using Area and Angle between Diagonal and Breadth of the Rectangle. Breadth of Rectangle is denoted by b symbol.

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

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

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

The formula of Breadth of Rectangle given Area and Angle between Diagonal and Breadth is expressed as Breadth of Rectangle = sqrt(Area of Rectangle/tan(Angle between Diagonal and Breadth of Rectangle)). Here is an example- 5.79741 = sqrt(48/tan(0.959931088596701)).

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

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

What are the other ways to Calculate Breadth of Rectangle?

Here are the different ways to Calculate Breadth of Rectangle-

Breadth of Rectangle=Area of Rectangle/Length of Rectangle
Breadth of Rectangle=Diagonal of Rectangle*cos(Obtuse Angle between Diagonals of Rectangle/2)
Breadth of Rectangle=Diagonal of Rectangle*sin(Acute Angle between Diagonals of Rectangle/2)

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

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

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

Breadth 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 Breadth of Rectangle given Area and Angle between Diagonal and Breadth can be measured.

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