Perimeter of Rhombus given Short Diagonal and Obtuse 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%
✖Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.ⓘ Obtuse Angle of Rhombus [∠_Obtuse]			+10% -10%

✖The Perimeter of Rhombus is the total distance around the edge of the Rhombus.ⓘ Perimeter of Rhombus given Short Diagonal and Obtuse Angle [P]

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Formula

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Perimeter of Rhombus given Short Diagonal and Obtuse Angle

Formula

`"P" = (2*"d"_{"Short"})/cos("∠"_{"Obtuse"}/2)`

Example

`"41.81001m"=(2*"8m")/cos("135°"/2)`

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Perimeter of Rhombus given Short Diagonal and Obtuse Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/cos(Obtuse Angle of Rhombus/2)
P = (2*d_Short)/cos(∠_Obtuse/2)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

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

Short Diagonal of Rhombus: 8 Meter --> 8 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

P = (2*d_Short)/cos(∠_Obtuse/2) --> (2*8)/cos(2.3561944901919/2)

Evaluating ... ...

P = 41.8100148760216

STEP 3: Convert Result to Output's Unit

41.8100148760216 Meter --> No Conversion Required

FINAL ANSWER

41.8100148760216 ≈ 41.81001 Meter <-- Perimeter 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 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 Short Diagonal and Obtuse Angle Formula

Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/cos(Obtuse Angle of Rhombus/2)
P = (2*d_Short)/cos(∠_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.

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 Short Diagonal and Obtuse Angle?

Perimeter of Rhombus given Short Diagonal and Obtuse Angle calculator uses Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/cos(Obtuse Angle of Rhombus/2) to calculate the Perimeter of Rhombus, The Perimeter of Rhombus given Short Diagonal and Obtuse Angle formula is defined as the total distance around the edge of the Rhombus, calculated using the short diagonal and obtuse angle of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

How to calculate Perimeter of Rhombus given Short Diagonal and Obtuse Angle using this online calculator? To use this online calculator for Perimeter of Rhombus given Short Diagonal and Obtuse Angle, enter Short Diagonal of Rhombus (d_Short) & Obtuse Angle of Rhombus (∠_Obtuse) and hit the calculate button. Here is how the Perimeter of Rhombus given Short Diagonal and Obtuse Angle calculation can be explained with given input values -> 41.81001 = (2*8)/cos(2.3561944901919/2).

FAQ

What is Perimeter of Rhombus given Short Diagonal and Obtuse Angle?

The Perimeter of Rhombus given Short Diagonal and Obtuse Angle formula is defined as the total distance around the edge of the Rhombus, calculated using the short diagonal and obtuse angle of the Rhombus and is represented as P = (2*d_Short)/cos(∠_Obtuse/2) or Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/cos(Obtuse Angle of Rhombus/2). A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus & Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

How to calculate Perimeter of Rhombus given Short Diagonal and Obtuse Angle?

The Perimeter of Rhombus given Short Diagonal and Obtuse Angle formula is defined as the total distance around the edge of the Rhombus, calculated using the short diagonal and obtuse angle of the Rhombus is calculated using Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/cos(Obtuse Angle of Rhombus/2). To calculate Perimeter of Rhombus given Short Diagonal and Obtuse Angle, you need Short Diagonal of Rhombus (d_Short) & Obtuse Angle of Rhombus (∠_Obtuse). With our tool, you need to enter the respective value for Short Diagonal 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 Perimeter of Rhombus?

In this formula, Perimeter of Rhombus uses Short Diagonal of Rhombus & Obtuse 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 = 4*sqrt(Area of Rhombus/sin(Acute Angle 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*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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