Side of Rhombus given Short Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))
S = dShort/(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
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
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.
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
Short Diagonal of Rhombus: 8 Meter --> 8 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
S = dShort/(2*sin(∠Acute/2)) --> 8/(2*sin(0.785398163397301/2))
Evaluating ... ...
S = 10.4525037190129
STEP 3: Convert Result to Output's Unit
10.4525037190129 Meter --> No Conversion Required
FINAL ANSWER
10.4525037190129 10.4525 Meter <-- Side of Rhombus
(Calculation completed in 00.004 seconds)

Credits

Created by Shashwati Tidke
Vishwakarma Institute of Technology (VIT), Pune
Shashwati Tidke has created this Calculator and 7 more calculators!
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St Joseph's College (SJC), Bengaluru
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9 Side of Rhombus Calculators

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

Side of Rhombus given Short Diagonal Formula

Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2))
S = dShort/(2*sin(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 Side of Rhombus given Short Diagonal?

Side of Rhombus given Short Diagonal calculator uses Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2)) to calculate the Side of Rhombus, The Side of Rhombus given Short Diagonal formula is defined as the length of the line segment that joins two adjacent vertices of a Rhombus, calculated using the short diagonal of the Rhombus. Side of Rhombus is denoted by S symbol.

How to calculate Side of Rhombus given Short Diagonal using this online calculator? To use this online calculator for Side of Rhombus given Short Diagonal, enter Short Diagonal of Rhombus (dShort) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Side of Rhombus given Short Diagonal calculation can be explained with given input values -> 10.4525 = 8/(2*sin(0.785398163397301/2)).

FAQ

What is Side of Rhombus given Short Diagonal?
The Side of Rhombus given Short Diagonal formula is defined as the length of the line segment that joins two adjacent vertices of a Rhombus, calculated using the short diagonal of the Rhombus and is represented as S = dShort/(2*sin(∠Acute/2)) or Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2)). A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Side of Rhombus given Short Diagonal?
The Side of Rhombus given Short Diagonal formula is defined as the length of the line segment that joins two adjacent vertices of a Rhombus, calculated using the short diagonal of the Rhombus is calculated using Side of Rhombus = Short Diagonal of Rhombus/(2*sin(Acute Angle of Rhombus/2)). To calculate Side of Rhombus given Short Diagonal, you need Short Diagonal of Rhombus (dShort) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Short Diagonal 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 Side of Rhombus?
In this formula, Side of Rhombus uses Short Diagonal of Rhombus & Acute Angle of Rhombus. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))
  • Side of Rhombus = Perimeter of Rhombus/4
  • Side of Rhombus = Short Diagonal of Rhombus/(2*cos(Obtuse Angle of Rhombus/2))
  • Side of Rhombus = Long Diagonal of Rhombus/(2*sin(Obtuse Angle of Rhombus/2))
  • Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
  • Side of Rhombus = (sqrt(Long Diagonal of Rhombus^2+Short Diagonal of Rhombus^2))/2
  • Side of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus)
  • Side of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus)
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