Long Diagonal of Rhombus given Area Calculator

✖Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.ⓘ Area of Rhombus [A]			+10% -10%
✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus [S]			+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 Area [d_Long]

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Formula

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Long Diagonal of Rhombus given Area

Formula

`"d"_{"Long"} = "A"/("S"*sin("∠"_{"Acute"}/2))`

Example

`"18.29188m"="70m²"/("10m"*sin("45°"/2))`

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Long Diagonal of Rhombus given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
d_Long = A/(S*sin(∠_Acute/2))
This formula uses 1 Functions, 4 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.
Area of Rhombus - (Measured in Square Meter) - Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
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

Area of Rhombus: 70 Square Meter --> 70 Square Meter No Conversion Required
Side of Rhombus: 10 Meter --> 10 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 = A/(S*sin(∠_Acute/2)) --> 70/(10*sin(0.785398163397301/2))

Evaluating ... ...

d_Long = 18.2918815082725

STEP 3: Convert Result to Output's Unit

18.2918815082725 Meter --> No Conversion Required

FINAL ANSWER

18.2918815082725 ≈ 18.29188 Meter <-- Long Diagonal of Rhombus

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 9 Long Diagonal of Rhombus Calculators

Long Diagonal of Rhombus given Area

Go Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))

Long Diagonal of Rhombus given Short Diagonal and Acute Angle

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

Long Diagonal of Rhombus given Short Diagonal and Side

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

Long Diagonal of Rhombus given Inradius

Go Long Diagonal of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus/2)

Long Diagonal of Rhombus given Perimeter

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

Long Diagonal of Rhombus given Obtuse angle

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

Long Diagonal of Rhombus given Height

Go Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2)

Long Diagonal of Rhombus

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

Long Diagonal of Rhombus given Area and Short Diagonal

Go Long Diagonal of Rhombus = (2*Area of Rhombus)/(Short Diagonal of Rhombus)

Long Diagonal of Rhombus given Area Formula

Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
d_Long = A/(S*sin(∠_Acute/2))

What is 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 Area?

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

How to calculate Long Diagonal of Rhombus given Area using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Area, enter Area of Rhombus (A), Side of Rhombus (S) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Area calculation can be explained with given input values -> 18.29188 = 70/(10*sin(0.785398163397301/2)).

FAQ

What is Long Diagonal of Rhombus given Area?

The Long Diagonal of Rhombus given Area formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the area of the Rhombus and is represented as d_Long = A/(S*sin(∠_Acute/2)) or Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2)). Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus, The Side of Rhombus is the length of any of the four edges & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

How to calculate Long Diagonal of Rhombus given Area?

The Long Diagonal of Rhombus given Area formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the area of the Rhombus is calculated using Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2)). To calculate Long Diagonal of Rhombus given Area, you need Area of Rhombus (A), Side of Rhombus (S) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Area of Rhombus, Side 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 Area of Rhombus, Side of Rhombus & Acute Angle of Rhombus. We can use 8 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 = 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)
Long Diagonal of Rhombus = (2*Area of Rhombus)/(Short Diagonal of Rhombus)
Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus/2)

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