Side 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%
✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus [∠_Acute]			+10% -10%

✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus given Area [S]

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Formula

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Side of Rhombus given Area

Formula

`"S" = sqrt("A"/sin("∠"_{"Acute"}))`

Example

`"9.949621m"=sqrt("70m²"/sin("45°"))`

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Side of Rhombus given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
S = sqrt(A/sin(∠_Acute))
This formula uses 2 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)
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

Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
Area of Rhombus - (Measured in Square Meter) - Area of Rhombus is the amount of two-dimensional space occupied by the 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

Area of Rhombus: 70 Square Meter --> 70 Square 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

S = sqrt(A/sin(∠_Acute)) --> sqrt(70/sin(0.785398163397301))

Evaluating ... ...

S = 9.94962056392761

STEP 3: Convert Result to Output's Unit

9.94962056392761 Meter --> No Conversion Required

FINAL ANSWER

9.94962056392761 ≈ 9.949621 Meter <-- Side of Rhombus

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 9 Side of Rhombus Calculators

Side of Rhombus given Area

Go Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))

Side of Rhombus given Short Diagonal and Long Diagonal

Go Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2

Side of Rhombus given Short Diagonal and Obtuse Angle

Go Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))

Side of Rhombus given Long Diagonal and Obtuse Angle

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

Side of Rhombus given Short Diagonal

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

Side of Rhombus given Long Diagonal

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

Side of Rhombus given Inradius

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

Side of Rhombus given Height

Go Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)

Side of Rhombus given Perimeter

Go Side of Rhombus = Perimeter of Rhombus/4

Side of Rhombus given Area Formula

Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
S = sqrt(A/sin(∠_Acute))

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 Side of Rhombus given Area?

Side of Rhombus given Area calculator uses Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)) to calculate the Side of Rhombus, The Side of Rhombus given Area formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the area of the Rhombus. Side of Rhombus is denoted by S symbol.

How to calculate Side of Rhombus given Area using this online calculator? To use this online calculator for Side of Rhombus given Area, enter Area of Rhombus (A) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Side of Rhombus given Area calculation can be explained with given input values -> 9.949621 = sqrt(70/sin(0.785398163397301)).

FAQ

What is Side of Rhombus given Area?

The Side of Rhombus given Area formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the area of the Rhombus and is represented as S = sqrt(A/sin(∠_Acute)) or Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)). Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.

How to calculate Side of Rhombus given Area?

The Side of Rhombus given Area formula is defined as the length of the line segment that joins two adjacent vertices of the Rhombus, calculated using the area of the Rhombus is calculated using Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)). To calculate Side of Rhombus given Area, you need Area of Rhombus (A) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Area 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 Side of Rhombus?

In this formula, Side of Rhombus uses Area of Rhombus & Acute Angle of Rhombus. We can use 8 other way(s) to calculate the same, which is/are as follows -

Side of Rhombus = Perimeter of Rhombus/4
Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))
Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))
Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2))
Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2
Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)

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