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Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Formula

GoObtuse Angle between Diagonals of Rectangle given Diagonal and Length Formula

GoObtuse Angle between Diagonals of Rectangle given Length and Circumradius Formula

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Obtuse Angle between Diagonals of Rectangle is the angle made by the diagonals of the Rectangle which is greater than 90 degrees. Check FAQs

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

∠_d(Obtuse) - Obtuse Angle between Diagonals of Rectangle?b - Breadth of Rectangle?d - Diagonal of Rectangle?

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Example

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

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

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

106.2602 = 2 \cdot a \cos (\frac{6}{10})

106.2602° = 2 \cdot a \cos (\frac{6m}{10m})

106.2602 = 2 \cdot a \cos (\frac{6}{10})

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Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ d(Obtuse) = 2 \cdot a \cos (\frac{6m}{10m})

Next Step Prepare to Evaluate

∴

∠ d(Obtuse) = 2 \cdot a \cos (\frac{6}{10})

Next Step Evaluate

∴

∠ d(Obtuse) = 1.85459043600322rad

Next Step Convert to Output's Unit

∴

∠ d(Obtuse) = 106.260204708332°

LAST Step Rounding Answer

∴

∠ d(Obtuse) = 106.2602°

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth Formula Elements

Variables

Functions

Obtuse Angle between Diagonals of Rectangle

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

Symbol: ∠_d(Obtuse)

Measurement: AngleUnit: °

Note: Value should be between 90 to 180.

Formulas to find Obtuse Angle between Diagonals 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

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

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other Formulas to find Obtuse Angle between Diagonals of Rectangle

Go Obtuse Angle between Diagonals of Rectangle given Diagonal and Length

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

Go Obtuse Angle between Diagonals of Rectangle given Length and Circumradius

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

Go Obtuse Angle between Diagonals of Rectangle given Breadth and Circumradius

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

Go Obtuse Angle between Diagonals of Rectangle given Acute Angle

∠ d(Obtuse) = π - ∠ d(Acute)

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

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth evaluator uses Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle) to evaluate the Obtuse Angle between Diagonals of Rectangle, The Obtuse angle between Diagonals of Rectangle given Diagonal and Breadth formula is defined as the Angle made by the Diagonals of the Rectangle which is greater than 90 degrees and calculated using Diagonal and Breadth of Rectangle. Obtuse Angle between Diagonals of Rectangle is denoted by ∠_d(Obtuse) symbol.

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

FAQs on Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth

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

The formula of Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth is expressed as Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle). Here is an example- 6088.261 = 2*acos(6/10).

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

With Breadth of Rectangle (b) & Diagonal of Rectangle (d) we can find Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth using the formula - Obtuse Angle between Diagonals of Rectangle = 2*acos(Breadth of Rectangle/Diagonal of Rectangle). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

What are the other ways to Calculate Obtuse Angle between Diagonals of Rectangle?

Here are the different ways to Calculate Obtuse Angle between Diagonals of Rectangle-

Obtuse Angle between Diagonals of Rectangle=2*asin(Length of Rectangle/Diagonal of Rectangle)
Obtuse Angle between Diagonals of Rectangle=2*asin(Length of Rectangle/(2*Circumradius of Rectangle))
Obtuse Angle between Diagonals of Rectangle=2*acos(Breadth of Rectangle/(2*Circumradius of Rectangle))

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

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

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

Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Obtuse Angle between Diagonals of Rectangle given Diagonal and Breadth can be measured.

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