Long Diagonal of Rhombus given Short Diagonal and Acute Angle 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%
✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus [∠_Acute]			+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 Short Diagonal and Acute Angle [d_Long]

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Long Diagonal of Rhombus given Short Diagonal and Acute Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
d_Long = d_Short/tan(∠_Acute/2)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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.
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.
Acute Angle of Rhombus - (Measured in Radian) - Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
Acute Angle of Rhombus: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = d_Short/tan(∠_Acute/2) --> 8/tan(0.785398163397301/2)

Evaluating ... ...

d_Long = 19.3137084989888

STEP 3: Convert Result to Output's Unit

19.3137084989888 Meter --> No Conversion Required

FINAL ANSWER

19.3137084989888 ≈ 19.31371 Meter <-- Long Diagonal of Rhombus

(Calculation completed in 00.004 seconds)

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Long Diagonal of Rhombus given Short Diagonal and Acute Angle

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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)

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

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Long Diagonal of Rhombus given Area and Short Diagonal

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Long Diagonal of Rhombus given Short Diagonal and Acute Angle Formula

LaTeX Go

Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
d_Long = d_Short/tan(∠_Acute/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 Short Diagonal and Acute Angle?

Long Diagonal of Rhombus given Short Diagonal and Acute Angle calculator uses Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2) to calculate the Long Diagonal of Rhombus, Long Diagonal of Rhombus given Short Diagonal and Acute Angle formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and acute angle of the Rhombus. Long Diagonal of Rhombus is denoted by d_Long symbol.

How to calculate Long Diagonal of Rhombus given Short Diagonal and Acute Angle using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Short Diagonal and Acute Angle, enter Short Diagonal of Rhombus (d_Short) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Short Diagonal and Acute Angle calculation can be explained with given input values -> 19.31371 = 8/tan(0.785398163397301/2).

FAQ

What is Long Diagonal of Rhombus given Short Diagonal and Acute Angle?

Long Diagonal of Rhombus given Short Diagonal and Acute Angle formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and acute angle of the Rhombus and is represented as d_Long = d_Short/tan(∠_Acute/2) or Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2). A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

How to calculate Long Diagonal of Rhombus given Short Diagonal and Acute Angle?

Long Diagonal of Rhombus given Short Diagonal and Acute Angle formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and acute angle of the Rhombus is calculated using Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2). To calculate Long Diagonal of Rhombus given Short Diagonal and Acute Angle, you need Short Diagonal of Rhombus (d_Short) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Short Diagonal of Rhombus & Acute 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 Short Diagonal of Rhombus & Acute 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*sin(Obtuse Angle of Rhombus/2)
Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)

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