Long Diagonal of Rhombus given Obtuse angle Calculator

✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus [S]			+10% -10%
✖Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.ⓘ Obtuse Angle of Rhombus [∠_Obtuse]			+10% -10%

✖The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.ⓘ Long Diagonal of Rhombus given Obtuse angle [d_Long]

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Long Diagonal of Rhombus given Obtuse angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2)
d_Long = 2*S*sin(∠_Obtuse/2)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

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.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Obtuse Angle of Rhombus - (Measured in Radian) - Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

STEP 1: Convert Input(s) to Base Unit

Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required
Obtuse Angle of Rhombus: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = 2*S*sin(∠_Obtuse/2) --> 2*10*sin(2.3561944901919/2)

Evaluating ... ...

d_Long = 18.477590650224

STEP 3: Convert Result to Output's Unit

18.477590650224 Meter --> No Conversion Required

FINAL ANSWER

18.477590650224 ≈ 18.47759 Meter <-- Long Diagonal of Rhombus

(Calculation completed in 00.020 seconds)

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< Long Diagonal of Rhombus Calculators

Long Diagonal of Rhombus given Short Diagonal and Acute Angle

LaTeX Go Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)

Long Diagonal of Rhombus given Short Diagonal and Side

LaTeX Go Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)

Long Diagonal of Rhombus given Obtuse angle

LaTeX Go Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2)

Long Diagonal of Rhombus

LaTeX Go Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)

Long Diagonal of Rhombus given Obtuse angle Formula

LaTeX Go

Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2)
d_Long = 2*S*sin(∠_Obtuse/2)

What is a Rhombus?

A 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 Long Diagonal of Rhombus given Obtuse angle?

Long Diagonal of Rhombus given Obtuse angle calculator uses Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2) to calculate the Long Diagonal of Rhombus, The Long Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus. Long Diagonal of Rhombus is denoted by d_Long symbol.

How to calculate Long Diagonal of Rhombus given Obtuse angle using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Obtuse angle, enter Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Obtuse angle calculation can be explained with given input values -> 18.47759 = 2*10*sin(2.3561944901919/2).

FAQ

What is Long Diagonal of Rhombus given Obtuse angle?

The Long Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus and is represented as d_Long = 2*S*sin(∠_Obtuse/2) or Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2). The Side of Rhombus is the length of any of the four edges & Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

How to calculate Long Diagonal of Rhombus given Obtuse angle?

The Long Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus is calculated using Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2). To calculate Long Diagonal of Rhombus given Obtuse angle, you need Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse). With our tool, you need to enter the respective value for Side of Rhombus & Obtuse Angle 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 Long Diagonal of Rhombus?

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

Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)

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