Perimeter of Rhombus given Long Diagonal and Obtuse Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2)
P = (2*dLong)/sin(Obtuse/2)
This formula uses 1 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)
Variables Used
Perimeter of Rhombus - (Measured in Meter) - The Perimeter of Rhombus is the total distance around the edge of the Rhombus.
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.
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
Long Diagonal of Rhombus: 18 Meter --> 18 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*dLong)/sin(∠Obtuse/2) --> (2*18)/sin(2.3561944901919/2)
Evaluating ... ...
P = 38.9661192105298
STEP 3: Convert Result to Output's Unit
38.9661192105298 Meter --> No Conversion Required
FINAL ANSWER
38.9661192105298 38.96612 Meter <-- Perimeter of Rhombus
(Calculation completed in 00.004 seconds)

Credits

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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 Long Diagonal and Obtuse Angle Formula

Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2)
P = (2*dLong)/sin(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 Long Diagonal and Obtuse Angle?

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

How to calculate Perimeter of Rhombus given Long Diagonal and Obtuse Angle using this online calculator? To use this online calculator for Perimeter of Rhombus given Long Diagonal and Obtuse Angle, enter Long Diagonal of Rhombus (dLong) & Obtuse Angle of Rhombus (∠Obtuse) and hit the calculate button. Here is how the Perimeter of Rhombus given Long Diagonal and Obtuse Angle calculation can be explained with given input values -> 38.96612 = (2*18)/sin(2.3561944901919/2).

FAQ

What is Perimeter of Rhombus given Long Diagonal and Obtuse Angle?
The Perimeter of Rhombus given Long Diagonal and Obtuse Angle formula is defined as the total distance around the edge of the Rhombus, calculated using the long diagonal and obtuse angle of the Rhombus and is represented as P = (2*dLong)/sin(∠Obtuse/2) or Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2). The Long Diagonal of Rhombus is the length of line joining the acute 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 Long Diagonal and Obtuse Angle?
The Perimeter of Rhombus given Long Diagonal and Obtuse Angle formula is defined as the total distance around the edge of the Rhombus, calculated using the long diagonal and obtuse angle of the Rhombus is calculated using Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/sin(Obtuse Angle of Rhombus/2). To calculate Perimeter of Rhombus given Long Diagonal and Obtuse Angle, you need Long Diagonal of Rhombus (dLong) & Obtuse Angle of Rhombus (∠Obtuse). With our tool, you need to enter the respective value for Long 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 Long 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*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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