Short Diagonal of Rhombus given Perimeter Calculator

✖The Perimeter of Rhombus is the total distance around the edge of the Rhombus.ⓘ Perimeter of Rhombus [P]			+10% -10%
✖Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.ⓘ Acute Angle of Rhombus [∠_Acute]			+10% -10%

✖A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.ⓘ Short Diagonal of Rhombus given Perimeter [d_Short]

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Formula

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Short Diagonal of Rhombus given Perimeter

Formula

`"d"_{"Short"} = "P"/2*sin("∠"_{"Acute"}/2)`

Example

`"7.653669m"="40m"/2*sin("45°"/2)`

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Short Diagonal of Rhombus given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2)
d_Short = P/2*sin(∠_Acute/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

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.
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

d_Short = P/2*sin(∠_Acute/2) --> 40/2*sin(0.785398163397301/2)

Evaluating ... ...

d_Short = 7.65366864730043

STEP 3: Convert Result to Output's Unit

7.65366864730043 Meter --> No Conversion Required

FINAL ANSWER

7.65366864730043 ≈ 7.653669 Meter <-- Short Diagonal 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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Mumbai University (DJSCE), Mumbai

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< 9 Short Diagonal of Rhombus Calculators

Short Diagonal of Rhombus given Area

Go Short Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*cos(Acute Angle of Rhombus/2))

Short Diagonal of Rhombus given Long Diagonal and Acute Angle

Go Short Diagonal of Rhombus = Long Diagonal of Rhombus*tan(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Inradius

Go Short Diagonal of Rhombus = (2*Inradius of Rhombus)/cos(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Long Diagonal and Side

Go Short Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Long Diagonal of Rhombus^2)

Short Diagonal of Rhombus given Perimeter

Go Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Obtuse Angle

Go Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2)

Short Diagonal of Rhombus given Height

Go Short Diagonal of Rhombus = Height of Rhombus/cos(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus

Go Short Diagonal of Rhombus = 2*Side of Rhombus*sin(Acute Angle of Rhombus/2)

Short Diagonal of Rhombus given Area and Long Diagonal

Go Short Diagonal of Rhombus = (2*Area of Rhombus)/(Long Diagonal of Rhombus)

Short Diagonal of Rhombus given Perimeter Formula

Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2)
d_Short = P/2*sin(∠_Acute/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.

How to Calculate Short Diagonal of Rhombus given Perimeter?

Short Diagonal of Rhombus given Perimeter calculator uses Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2) to calculate the Short Diagonal of Rhombus, The Short Diagonal of Rhombus given Perimeter formula is defined as the line joining the obtuse angle corners, calculated using the perimeter of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

How to calculate Short Diagonal of Rhombus given Perimeter using this online calculator? To use this online calculator for Short Diagonal of Rhombus given Perimeter, enter Perimeter of Rhombus (P) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Short Diagonal of Rhombus given Perimeter calculation can be explained with given input values -> 7.653669 = 40/2*sin(0.785398163397301/2).

FAQ

What is Short Diagonal of Rhombus given Perimeter?

The Short Diagonal of Rhombus given Perimeter formula is defined as the line joining the obtuse angle corners, calculated using the perimeter of the Rhombus and is represented as d_Short = P/2*sin(∠_Acute/2) or Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(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 Short Diagonal of Rhombus given Perimeter?

The Short Diagonal of Rhombus given Perimeter formula is defined as the line joining the obtuse angle corners, calculated using the perimeter of the Rhombus is calculated using Short Diagonal of Rhombus = Perimeter of Rhombus/2*sin(Acute Angle of Rhombus/2). To calculate Short 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 Short Diagonal of Rhombus?

In this formula, Short 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 -

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

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