Perimeter of Rhombus given Short Diagonal and Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)
P = 2*sqrt(dLong^2+dShort^2)
This formula uses 1 Functions, 3 Variables
Functions Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Long Diagonal of Rhombus: 18 Meter --> 18 Meter No Conversion Required
Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 2*sqrt(dLong^2+dShort^2) --> 2*sqrt(18^2+8^2)
Evaluating ... ...
P = 39.3954312071844
STEP 3: Convert Result to Output's Unit
39.3954312071844 Meter --> No Conversion Required
FINAL ANSWER
39.3954312071844 39.39543 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
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nikhil
Mumbai University (DJSCE), Mumbai
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Perimeter of Rhombus Calculators

Perimeter of Rhombus given Area
​ LaTeX ​ Go Perimeter of Rhombus = 4*sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
Perimeter of Rhombus given Short Diagonal
​ LaTeX ​ Go Perimeter of Rhombus = (2*Short Diagonal of Rhombus)/sin(Acute Angle of Rhombus/2)
Perimeter of Rhombus given Long Diagonal
​ LaTeX ​ Go Perimeter of Rhombus = (2*Long Diagonal of Rhombus)/cos(Acute Angle of Rhombus/2)
Perimeter of Rhombus
​ LaTeX ​ Go Perimeter of Rhombus = 4*Side of Rhombus

Perimeter of Rhombus Calculators

Perimeter of Rhombus given Short Diagonal and Long Diagonal
​ LaTeX ​ Go Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)
Perimeter of Rhombus
​ LaTeX ​ Go Perimeter of Rhombus = 4*Side of Rhombus

Perimeter of Rhombus given Short Diagonal and Long Diagonal Formula

​LaTeX ​Go
Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2)
P = 2*sqrt(dLong^2+dShort^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 Long Diagonal?

Perimeter of Rhombus given Short Diagonal and Long Diagonal calculator uses Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2) to calculate the Perimeter of Rhombus, The Perimeter of Rhombus given Short Diagonal and Long Diagonal formula is defined as the total distance around the edge of the Rhombus, calculated using the short diagonal and long diagonal of the Rhombus. Perimeter of Rhombus is denoted by P symbol.

How to calculate Perimeter of Rhombus given Short Diagonal and Long Diagonal using this online calculator? To use this online calculator for Perimeter of Rhombus given Short Diagonal and Long Diagonal, enter Long Diagonal of Rhombus (dLong) & Short Diagonal of Rhombus (dShort) and hit the calculate button. Here is how the Perimeter of Rhombus given Short Diagonal and Long Diagonal calculation can be explained with given input values -> 39.39543 = 2*sqrt(18^2+8^2).

FAQ

What is Perimeter of Rhombus given Short Diagonal and Long Diagonal?
The Perimeter of Rhombus given Short Diagonal and Long Diagonal formula is defined as the total distance around the edge of the Rhombus, calculated using the short diagonal and long diagonal of the Rhombus and is represented as P = 2*sqrt(dLong^2+dShort^2) or Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2). The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus & A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.
How to calculate Perimeter of Rhombus given Short Diagonal and Long Diagonal?
The Perimeter of Rhombus given Short Diagonal and Long Diagonal formula is defined as the total distance around the edge of the Rhombus, calculated using the short diagonal and long diagonal of the Rhombus is calculated using Perimeter of Rhombus = 2*sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2). To calculate Perimeter of Rhombus given Short Diagonal and Long Diagonal, you need Long Diagonal of Rhombus (dLong) & Short Diagonal of Rhombus (dShort). With our tool, you need to enter the respective value for Long Diagonal of Rhombus & Short Diagonal 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 & Short Diagonal of Rhombus. We can use 3 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)
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