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Length of Rectangle given Diagonal and Angle between Diagonal and Length 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 = d \cdot \cos (∠ dl)

l - Length of Rectangle?d - Diagonal of Rectangle?∠_dl - Angle between Diagonal and Length of Rectangle?

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

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

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

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

8.1915 = 10 \cdot \cos (35)

8.1915m = 10m \cdot \cos (35°)

8.1915 = 10 \cdot \cos (35)

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

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

FIRST Step Consider the formula

l = d \cdot \cos (∠ dl)

Next Step Substitute values of Variables

∴

l = 10m \cdot \cos (35°)

Next Step Convert Units

∴

l = 10m \cdot \cos (0.6109rad)

Next Step Prepare to Evaluate

∴

l = 10 \cdot \cos (0.6109)

Next Step Evaluate

∴

l = 8.19152044289057m

LAST Step Rounding Answer

∴

l = 8.1915m

Length of Rectangle given Diagonal and Angle between Diagonal and Length 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

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

Angle between Diagonal and Length of 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.

Symbol: ∠_dl

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle between Diagonal and Length 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 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 Diagonal and Angle between Diagonal and Length?

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

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

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

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

The formula of Length of Rectangle given Diagonal and Angle between Diagonal and Length is expressed as Length of Rectangle = Diagonal of Rectangle*cos(Angle between Diagonal and Length of Rectangle). Here is an example- 8.19152 = 10*cos(0.610865238197901).

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

With Diagonal of Rectangle (d) & Angle between Diagonal and Length of Rectangle (∠_dl) we can find Length of Rectangle given Diagonal and Angle between Diagonal and Length using the formula - Length of Rectangle = Diagonal of Rectangle*cos(Angle between Diagonal and Length of Rectangle). This formula also uses Cosine (cos) 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 Diagonal and Angle between Diagonal and Length be negative?

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

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

Length of Rectangle given Diagonal and Angle between Diagonal and Length 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 Diagonal and Angle between Diagonal and Length can be measured.

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