Perimeter 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 Perimeter of Rhombus is the total distance around the edge of the Rhombus.ⓘ Perimeter of Rhombus given Area [P]

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Formula

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Perimeter of Rhombus given Area

Formula

`"P" = 4*sqrt("A"/sin("∠"_{"Acute"}))`

Example

`"39.79848m"=4*sqrt("70m²"/sin("45°"))`

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Perimeter of Rhombus given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
P = 4*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

Perimeter of Rhombus - (Measured in Meter) - The Perimeter of Rhombus is the total distance around the edge of the Rhombus.
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

P = 4*sqrt(A/sin(∠_Acute)) --> 4*sqrt(70/sin(0.785398163397301))

Evaluating ... ...

P = 39.7984822557105

STEP 3: Convert Result to Output's Unit

39.7984822557105 Meter --> No Conversion Required

FINAL ANSWER

39.7984822557105 ≈ 39.79848 Meter <-- Perimeter of Rhombus

(Calculation completed in 00.020 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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Mumbai University (DJSCE), Mumbai

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< 9 Perimeter of Rhombus Calculators

Perimeter of Rhombus given Area

Go Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))

Perimeter of Rhombus given Short Diagonal and Long Diagonal

Go Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)

Perimeter of Rhombus given Short Diagonal and Obtuse Angle

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

Perimeter of Rhombus given Long Diagonal and Obtuse Angle

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

Perimeter of Rhombus given Short Diagonal

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

Perimeter of Rhombus given Long Diagonal

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

Perimeter of Rhombus given Inradius

Go Perimeter of Rhombus = (8*Inradius of Rhombus)/sin(Acute Angle of Rhombus)

Perimeter of Rhombus given Height

Go Perimeter of Rhombus = (4*Height of Rhombus)/sin(Acute Angle of Rhombus)

Perimeter of Rhombus

Go Perimeter of Rhombus = 4*Side of Rhombus

Perimeter of Rhombus given Area Formula

Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
P = 4*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.

What is Perimeter of a Rhombus?

A rhombus is a quadrilateral whose four sides all have the same length. Another name of it is equilateral quadrilateral and is often called as a diamond or diamond-shaped object. The perimeter of a rhombus is the total distance travelled along the border of a rhombus.

How to Calculate Perimeter of Rhombus given Area?

Perimeter of Rhombus given Area calculator uses Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)) to calculate the Perimeter of Rhombus, The Perimeter of Rhombus given Area formula is defined as the total distance around the edge of the Rhombus, calculated using the area of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

How to calculate Perimeter of Rhombus given Area using this online calculator? To use this online calculator for Perimeter of Rhombus given Area, enter Area of Rhombus (A) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Perimeter of Rhombus given Area calculation can be explained with given input values -> 39.79848 = 4*sqrt(70/sin(0.785398163397301)).

FAQ

What is Perimeter of Rhombus given Area?

The Perimeter of Rhombus given Area formula is defined as the total distance around the edge of the Rhombus, calculated using the area of the Rhombus and is represented as P = 4*sqrt(A/sin(∠_Acute)) or Perimeter of Rhombus = 4*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 Perimeter of Rhombus given Area?

The Perimeter of Rhombus given Area formula is defined as the total distance around the edge of the Rhombus, calculated using the area of the Rhombus is calculated using Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus)). To calculate Perimeter 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 Perimeter of Rhombus?

In this formula, Perimeter 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 -

Perimeter of Rhombus = 4*Side of Rhombus
Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2)
Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/sin(Acute Angle of Rhombus/2)
Perimeter of Rhombus = (8*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2)
Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/cos(Obtuse Angle of Rhombus/2)
Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)
Perimeter of Rhombus = (4*Height of Rhombus)/sin(Acute Angle of Rhombus)

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