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*dShort)/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*dShort)/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
41.8100148760216 41.81001 Meter <-- Perimeter of Rhombus
(Calculation completed in 00.004 seconds)
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< 9 Perimeter of Rhombus Calculators

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