Long Diagonal of Rhombus given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2)
dLong = P/2*cos(Acute/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
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.
Perimeter of Rhombus - (Measured in Meter) - The Perimeter of Rhombus is the total distance around the edge of 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
Perimeter of Rhombus: 40 Meter --> 40 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
dLong = P/2*cos(∠Acute/2) --> 40/2*cos(0.785398163397301/2)
Evaluating ... ...
dLong = 18.4775906502263
STEP 3: Convert Result to Output's Unit
18.4775906502263 Meter --> No Conversion Required
FINAL ANSWER
18.4775906502263 18.47759 Meter <-- Long Diagonal 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
Nikhil has verified this Calculator and 300+ more calculators!

9 Long Diagonal of Rhombus Calculators

Long Diagonal of Rhombus given Area
​ Go Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
Long Diagonal of Rhombus given Short Diagonal and Acute Angle
​ Go Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus given Short Diagonal and Side
​ Go Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)
Long Diagonal of Rhombus given Inradius
​ Go Long Diagonal of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus given Perimeter
​ Go Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus given Obtuse angle
​ Go Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2)
Long Diagonal of Rhombus given Height
​ Go Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus
​ Go Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)
Long Diagonal of Rhombus given Area and Short Diagonal
​ Go Long Diagonal of Rhombus = (2*Area of Rhombus)/(Short Diagonal of Rhombus)

Long Diagonal of Rhombus given Perimeter Formula

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

What is 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.

How to Calculate Long Diagonal of Rhombus given Perimeter?

Long Diagonal of Rhombus given Perimeter calculator uses Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2) to calculate the Long Diagonal of Rhombus, The Long Diagonal of Rhombus given Perimeter formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the perimeter of the Rhombus. Long Diagonal of Rhombus is denoted by dLong symbol.

How to calculate Long Diagonal of Rhombus given Perimeter using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Perimeter, enter Perimeter of Rhombus (P) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Perimeter calculation can be explained with given input values -> 18.47759 = 40/2*cos(0.785398163397301/2).

FAQ

What is Long Diagonal of Rhombus given Perimeter?
The Long Diagonal of Rhombus given Perimeter formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the perimeter of the Rhombus and is represented as dLong = P/2*cos(∠Acute/2) or Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2). The Perimeter of Rhombus is the total distance around the edge of the Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Long Diagonal of Rhombus given Perimeter?
The Long Diagonal of Rhombus given Perimeter formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the perimeter of the Rhombus is calculated using Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2). To calculate Long Diagonal of Rhombus given Perimeter, you need Perimeter of Rhombus (P) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Perimeter 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 Long Diagonal of Rhombus?
In this formula, Long Diagonal of Rhombus uses Perimeter of Rhombus & Acute Angle of Rhombus. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Long Diagonal of Rhombus = 2*Side of Rhombus*sin(Obtuse Angle of Rhombus/2)
  • Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)
  • Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
  • Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)
  • Long Diagonal of Rhombus = (2*Area of Rhombus)/(Short Diagonal of Rhombus)
  • Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
  • Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2)
  • Long Diagonal of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus/2)
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