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Diagonal of Rectangle given Angle between Breadth and Diagonal Formula

GoDiagonal of Rectangle given Area and Breadth Formula

GoDiagonal of Rectangle given Perimeter and Breadth Formula

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Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle. Check FAQs

d = \frac{b}{\cos (∠ db)}

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

Diagonal of Rectangle given Angle between Breadth and Diagonal Example

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

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

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

10.4607 = \frac{6}{\cos (55)}

10.4607m = \frac{6m}{\cos (55°)}

10.4607 = \frac{6}{\cos (55)}

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Diagonal of Rectangle given Angle between Breadth and Diagonal Solution

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

FIRST Step Consider the formula

d = \frac{b}{\cos (∠ db)}

Next Step Substitute values of Variables

∴

d = \frac{6m}{\cos (55°)}

Next Step Convert Units

∴

d = \frac{6m}{\cos (0.9599rad)}

Next Step Prepare to Evaluate

∴

d = \frac{6}{\cos (0.9599)}

Next Step Evaluate

∴

d = 10.4606807737239m

LAST Step Rounding Answer

∴

d = 10.4607m

Diagonal of Rectangle given Angle between Breadth and Diagonal Formula Elements

Variables

Functions

Diagonal of Rectangle

Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Rectangle

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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Diagonal of Rectangle

Go Diagonal of Rectangle given Area and Breadth

d = \sqrt{{(\frac{A}{b})}^{2} + b^{2}}

Go Diagonal of Rectangle given Perimeter and Breadth

d = \sqrt{(2 \cdot b^{2}) - (P \cdot b) + (\frac{P^{2}}{4})}

Go Diagonal of Rectangle given Area and Length

d = \sqrt{{(\frac{A}{l})}^{2} + l^{2}}

Go Diagonal of Rectangle

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

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

Diagonal of Rectangle given Angle between Breadth and Diagonal evaluator uses Diagonal of Rectangle = Breadth of Rectangle/cos(Angle between Diagonal and Breadth of Rectangle) to evaluate the Diagonal of Rectangle, Diagonal of Rectangle given Angle between Breadth and Diagonal formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle and calculated using the breadth and angle between diagonal and breadth of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

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

FAQs on Diagonal of Rectangle given Angle between Breadth and Diagonal

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

The formula of Diagonal of Rectangle given Angle between Breadth and Diagonal is expressed as Diagonal of Rectangle = Breadth of Rectangle/cos(Angle between Diagonal and Breadth of Rectangle). Here is an example- 10.46068 = 6/cos(0.959931088596701).

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

With Breadth of Rectangle (b) & Angle between Diagonal and Breadth of Rectangle (∠_db) we can find Diagonal of Rectangle given Angle between Breadth and Diagonal using the formula - Diagonal of Rectangle = Breadth of Rectangle/cos(Angle between Diagonal and Breadth of Rectangle). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Diagonal of Rectangle?

Here are the different ways to Calculate Diagonal of Rectangle-

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)

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

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

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

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

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