Short Diagonal of Rhombus given Obtuse Angle Calculator

✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus [S]			+10% -10%
✖Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.ⓘ Obtuse Angle of Rhombus [∠_Obtuse]			+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 Obtuse Angle [d_Short]

⎘ Copy

👎

Formula

✖

Short Diagonal of Rhombus given Obtuse Angle

Formula

`"d"_{"Short"} = 2*"S"*cos("∠"_{"Obtuse"}/2)`

Example

`"7.653669m"=2*"10m"*cos("135°"/2)`

Calculator

LaTeX

Reset

👍

Download Rhombus Formula PDF

Short Diagonal of Rhombus given Obtuse Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
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

Side of Rhombus: 10 Meter --> 10 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

d_Short = 2*S*cos(∠_Obtuse/2) --> 2*10*cos(2.3561944901919/2)

Evaluating ... ...

d_Short = 7.65366864730591

STEP 3: Convert Result to Output's Unit

7.65366864730591 Meter --> No Conversion Required

FINAL ANSWER

7.65366864730591 ≈ 7.653669 Meter <-- Short Diagonal of Rhombus

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Rhombus » Diagonal of Rhombus » Short Diagonal of Rhombus » Short Diagonal of Rhombus given Obtuse Angle

Credits

Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 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 Obtuse Angle Formula

Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2)
d_Short = 2*S*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.

How to Calculate Short Diagonal of Rhombus given Obtuse Angle?

Short Diagonal of Rhombus given Obtuse Angle calculator uses Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2) to calculate the Short Diagonal of Rhombus, Short Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the obtuse angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus. Short Diagonal of Rhombus is denoted by d_Short symbol.

How to calculate Short Diagonal of Rhombus given Obtuse Angle using this online calculator? To use this online calculator for Short Diagonal of Rhombus given Obtuse Angle, enter Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse) and hit the calculate button. Here is how the Short Diagonal of Rhombus given Obtuse Angle calculation can be explained with given input values -> 7.653669 = 2*10*cos(2.3561944901919/2).

FAQ

What is Short Diagonal of Rhombus given Obtuse Angle?

Short Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the obtuse angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus and is represented as d_Short = 2*S*cos(∠_Obtuse/2) or Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2). The Side of Rhombus is the length of any of the four edges & Obtuse Angle of Rhombus is the angle inside the Rhombus which is greater than 90 degree.

How to calculate Short Diagonal of Rhombus given Obtuse Angle?

Short Diagonal of Rhombus given Obtuse Angle is defined as the length of the line joining the obtuse angle corners of the Rhombus, calculated using the obtuse angle of the Rhombus is calculated using Short Diagonal of Rhombus = 2*Side of Rhombus*cos(Obtuse Angle of Rhombus/2). To calculate Short Diagonal of Rhombus given Obtuse Angle, you need Side of Rhombus (S) & Obtuse Angle of Rhombus (∠_Obtuse). With our tool, you need to enter the respective value for Side 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 Short Diagonal of Rhombus?

In this formula, Short Diagonal of Rhombus uses Side of Rhombus & Obtuse 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*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 = Perimeter of Rhombus/2*sin(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)

Home

FREE PDFs

🔍 Search