Side of Rhombus given Long Diagonal Calculator

✖The Long Diagonal of Rhombus is the length of line joining the acute angle corners of a Rhombus.ⓘ Long Diagonal of Rhombus [d_Long]			+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%

✖The Side of Rhombus is the length of any of the four edges.ⓘ Side of Rhombus given Long Diagonal [S]

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Side of Rhombus given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
S = d_Long/(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

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

Long Diagonal of Rhombus: 18 Meter --> 18 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 = d_Long/(2*cos(∠_Acute/2)) --> 18/(2*cos(0.785398163397301/2))

Evaluating ... ...

S = 9.74152980263125

STEP 3: Convert Result to Output's Unit

9.74152980263125 Meter --> No Conversion Required

FINAL ANSWER

9.74152980263125 ≈ 9.74153 Meter <-- Side of Rhombus

(Calculation completed in 00.004 seconds)

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Created by Sakshi Priya

Indian Institute of Technology (IIT), Roorkee

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< Side of Rhombus Calculators

Side of Rhombus given Area

LaTeX Go Side of Rhombus = sqrt(Area of Rhombus/sin(Acute Angle of Rhombus))

Side of Rhombus given Short Diagonal and Obtuse Angle

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

Side of Rhombus given Short Diagonal

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

Side of Rhombus given Perimeter

LaTeX Go Side of Rhombus = Perimeter of Rhombus/4

Side of Rhombus given Long Diagonal Formula

LaTeX Go

Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2))
S = d_Long/(2*cos(∠_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 Side of Rhombus given Long Diagonal?

Side of Rhombus given Long Diagonal calculator uses Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2)) to calculate the Side of Rhombus, Side of Rhombus given Long Diagonal can be defined as the length of the straight line joining two adjacent vertices of a Rhombus, calculated using the long diagonal of the Rhombus. Side of Rhombus is denoted by S symbol.

How to calculate Side of Rhombus given Long Diagonal using this online calculator? To use this online calculator for Side of Rhombus given Long Diagonal, enter Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute) and hit the calculate button. Here is how the Side of Rhombus given Long Diagonal calculation can be explained with given input values -> 9.74153 = 18/(2*cos(0.785398163397301/2)).

FAQ

What is Side of Rhombus given Long Diagonal?

Side of Rhombus given Long Diagonal can be defined as the length of the straight line joining two adjacent vertices of a Rhombus, calculated using the long diagonal of the Rhombus and is represented as S = d_Long/(2*cos(∠_Acute/2)) or Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2)). The Long Diagonal of Rhombus is the length of line joining the acute 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 Long Diagonal?

Side of Rhombus given Long Diagonal can be defined as the length of the straight line joining two adjacent vertices of a Rhombus, calculated using the long diagonal of the Rhombus is calculated using Side of Rhombus = Long Diagonal of Rhombus/(2*cos(Acute Angle of Rhombus/2)). To calculate Side of Rhombus given Long Diagonal, you need Long Diagonal of Rhombus (d_Long) & Acute Angle of Rhombus (∠_Acute). With our tool, you need to enter the respective value for Long 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 Long Diagonal of Rhombus & Acute Angle of Rhombus. We can use 3 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*sin(Acute Angle of Rhombus/2))

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