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Length of Rectangle given Diagonal and Acute Angle between Diagonals 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 (\frac{∠ d(Acute)}{2})

l - Length of Rectangle?d - Diagonal of Rectangle?∠_d(Acute) - Acute Angle between Diagonals of Rectangle?

Length of Rectangle given Diagonal and Acute Angle between Diagonals Example

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

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

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

8.1915 = 10 \cdot \cos (\frac{70}{2})

8.1915m = 10m \cdot \cos (\frac{70°}{2})

8.1915 = 10 \cdot \cos (\frac{70}{2})

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Length of Rectangle given Diagonal and Acute Angle between Diagonals Solution

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

FIRST Step Consider the formula

l = d \cdot \cos (\frac{∠ d(Acute)}{2})

Next Step Substitute values of Variables

∴

l = 10m \cdot \cos (\frac{70°}{2})

Next Step Convert Units

∴

l = 10m \cdot \cos (\frac{1.2217rad}{2})

Next Step Prepare to Evaluate

∴

l = 10 \cdot \cos (\frac{1.2217}{2})

Next Step Evaluate

∴

l = 8.19152044289058m

LAST Step Rounding Answer

∴

l = 8.1915m

Length of Rectangle given Diagonal and Acute Angle between Diagonals 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

Acute Angle between Diagonals of Rectangle

Acute Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is less than 90 degrees.

Symbol: ∠_d(Acute)

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Acute Angle between Diagonals 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 Acute Angle between Diagonals?

Length of Rectangle given Diagonal and Acute Angle between Diagonals evaluator uses Length of Rectangle = Diagonal of Rectangle*cos(Acute Angle between Diagonals of Rectangle/2) to evaluate the Length of Rectangle, Length of Rectangle given Diagonal and Acute Angle between Diagonals 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 the diagonal and acute angle between two diagonals of the Rectangle. Length of Rectangle is denoted by l symbol.

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

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

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

The formula of Length of Rectangle given Diagonal and Acute Angle between Diagonals is expressed as Length of Rectangle = Diagonal of Rectangle*cos(Acute Angle between Diagonals of Rectangle/2). Here is an example- 8.19152 = 10*cos(1.2217304763958/2).

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

With Diagonal of Rectangle (d) & Acute Angle between Diagonals of Rectangle (∠_d(Acute)) we can find Length of Rectangle given Diagonal and Acute Angle between Diagonals using the formula - Length of Rectangle = Diagonal of Rectangle*cos(Acute Angle between Diagonals of Rectangle/2). This formula also uses Cosine 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 Acute Angle between Diagonals be negative?

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

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

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

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