Obtuse Angle of Rhombus given both Diagonals Calculator

✖A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.ⓘ Short Diagonal of Rhombus [d_Short]			+10% -10%
✖The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.ⓘ Long Diagonal of Rhombus [d_Long]			+10% -10%

✖Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.ⓘ Obtuse Angle of Rhombus given both Diagonals [∠_Obtuse]

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Obtuse Angle of Rhombus given both Diagonals Solution

STEP 0: Pre-Calculation Summary

Formula Used

Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
∠_Obtuse = 2*acos(d_Short/sqrt(d_Long^2+d_Short^2))
This formula uses 3 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., acos(Number)
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., sqrt(Number)

Variables Used

Obtuse Angle of Rhombus - (Measured in Radian) - Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.
Short Diagonal of Rhombus - (Measured in Meter) - A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.
Long Diagonal of Rhombus - (Measured in Meter) - The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
Long Diagonal of Rhombus: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Obtuse = 2*acos(d_Short/sqrt(d_Long^2+d_Short^2)) --> 2*acos(8/sqrt(18^2+8^2))

Evaluating ... ...

∠_Obtuse = 2.30514399443133

STEP 3: Convert Result to Output's Unit

2.30514399443133 Radian -->132.075022050868 Degree (Check conversion here)

FINAL ANSWER

132.075022050868 ≈ 132.075 Degree <-- Obtuse Angle of Rhombus

(Calculation completed in 00.010 seconds)

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< Obtuse Angle of Rhombus Calculators

Obtuse Angle of Rhombus given both Diagonals

LaTeX Go Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

Obtuse Angle of Rhombus given Area

LaTeX Go Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2)

Obtuse Angle of Rhombus given Short Diagonal

LaTeX Go Obtuse Angle of Rhombus = acos(Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)

Obtuse Angle of Rhombus given Long Diagonal

LaTeX Go Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2))

< Angles of Rhombus Calculators

Acute Angle of Rhombus given both Diagonals

LaTeX Go Acute Angle of Rhombus = asin((2*Long Diagonal of Rhombus*Short Diagonal of Rhombus)/(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

Obtuse Angle of Rhombus given both Diagonals

LaTeX Go Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))

Acute Angle of Rhombus given Short Diagonal

LaTeX Go Acute Angle of Rhombus = acos(1-Short Diagonal of Rhombus^2/(2*Side of Rhombus^2))

Acute Angle of Rhombus given Long Diagonal

LaTeX Go Acute Angle of Rhombus = acos(Long Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)

Obtuse Angle of Rhombus given both Diagonals Formula

LaTeX Go

Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))
∠_Obtuse = 2*acos(d_Short/sqrt(d_Long^2+d_Short^2))

What is Rhombus?

Rhombus is a special case of a parallelogram. In a Rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a Rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or Rhombus diamond. The plural form of a Rhombus is Rhombi or Rhombuses.

How to Calculate Obtuse Angle of Rhombus given both Diagonals?

Obtuse Angle of Rhombus given both Diagonals calculator uses Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)) to calculate the Obtuse Angle of Rhombus, Obtuse Angle of Rhombus given both Diagonals is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using both diagonals. Obtuse Angle of Rhombus is denoted by ∠_Obtuse symbol.

How to calculate Obtuse Angle of Rhombus given both Diagonals using this online calculator? To use this online calculator for Obtuse Angle of Rhombus given both Diagonals, enter Short Diagonal of Rhombus (d_Short) & Long Diagonal of Rhombus (d_Long) and hit the calculate button. Here is how the Obtuse Angle of Rhombus given both Diagonals calculation can be explained with given input values -> 7567.341 = 2*acos(8/sqrt(18^2+8^2)).

FAQ

What is Obtuse Angle of Rhombus given both Diagonals?

Obtuse Angle of Rhombus given both Diagonals is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using both diagonals and is represented as ∠_Obtuse = 2*acos(d_Short/sqrt(d_Long^2+d_Short^2)) or Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)). A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus & The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.

How to calculate Obtuse Angle of Rhombus given both Diagonals?

Obtuse Angle of Rhombus given both Diagonals is defined as the angle inside the Rhombus which is greater than 90 degrees, calculated using both diagonals is calculated using Obtuse Angle of Rhombus = 2*acos(Short Diagonal of Rhombus/sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)). To calculate Obtuse Angle of Rhombus given both Diagonals, you need Short Diagonal of Rhombus (d_Short) & Long Diagonal of Rhombus (d_Long). With our tool, you need to enter the respective value for Short Diagonal of Rhombus & Long Diagonal of Rhombus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Obtuse Angle of Rhombus?

In this formula, Obtuse Angle of Rhombus uses Short Diagonal of Rhombus & Long Diagonal of Rhombus. We can use 3 other way(s) to calculate the same, which is/are as follows -

Obtuse Angle of Rhombus = acos(Short Diagonal of Rhombus^2/(2*Side of Rhombus^2)-1)
Obtuse Angle of Rhombus = acos(1-Long Diagonal of Rhombus^2/(2*Side of Rhombus^2))
Obtuse Angle of Rhombus = pi-asin(Area of Rhombus/Side of Rhombus^2)

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