Long Diagonal of Rhombus given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
dLong = A/(S*sin(Acute/2))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Trigonometric sine function, sin(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.
Area of Rhombus - (Measured in Square Meter) - Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus.
Side of Rhombus - (Measured in Meter) - The Side of Rhombus is the length of any of the four edges.
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
Area of Rhombus: 70 Square Meter --> 70 Square Meter No Conversion Required
Side of Rhombus: 10 Meter --> 10 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 = A/(S*sin(∠Acute/2)) --> 70/(10*sin(0.785398163397301/2))
Evaluating ... ...
dLong = 18.2918815082725
STEP 3: Convert Result to Output's Unit
18.2918815082725 Meter --> No Conversion Required
FINAL ANSWER
18.2918815082725 18.29188 Meter <-- Long Diagonal of Rhombus
(Calculation completed in 00.004 seconds)

Credits

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 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 Area Formula

Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
dLong = A/(S*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 Long Diagonal of Rhombus given Area?

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

How to calculate Long Diagonal of Rhombus given Area using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Area, enter Area of Rhombus (A), Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Area calculation can be explained with given input values -> 18.29188 = 70/(10*sin(0.785398163397301/2)).

FAQ

What is Long Diagonal of Rhombus given Area?
The Long Diagonal of Rhombus given Area formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the area of the Rhombus and is represented as dLong = A/(S*sin(Acute/2)) or Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2)). Area of Rhombus is the amount of two-dimensional space occupied by the Rhombus, The Side of Rhombus is the length of any of the four edges & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Long Diagonal of Rhombus given Area?
The Long Diagonal of Rhombus given Area formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the area of the Rhombus is calculated using Long Diagonal of Rhombus = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2)). To calculate Long Diagonal of Rhombus given Area, you need Area of Rhombus (A), Side of Rhombus (S) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Area of Rhombus, Side 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 Area of Rhombus, Side 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 = Perimeter of Rhombus/2*cos(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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