Long Diagonal of Rhombus given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2)
dLong = h/sin(Acute/2)
This formula uses 1 Functions, 3 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.
Height of Rhombus - (Measured in Meter) - Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side.
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
Height of Rhombus: 7 Meter --> 7 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 = h/sin(∠Acute/2) --> 7/sin(0.785398163397301/2)
Evaluating ... ...
dLong = 18.2918815082725
STEP 3: Convert Result to Output's Unit
18.2918815082725 Meter --> No Conversion Required
18.2918815082725 18.29188 Meter <-- Long Diagonal of Rhombus
(Calculation completed in 00.007 seconds)
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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< 9 Long Diagonal of Rhombus Calculators

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

Long Diagonal of Rhombus given Height Formula

Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2)
dLong = h/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 Height?

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

How to calculate Long Diagonal of Rhombus given Height using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Height, enter Height of Rhombus (h) & Acute Angle of Rhombus (∠Acute) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Height calculation can be explained with given input values -> 18.29188 = 7/sin(0.785398163397301/2).

FAQ

What is Long Diagonal of Rhombus given Height?
The Long Diagonal of Rhombus given Height formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the height of the Rhombus and is represented as dLong = h/sin(Acute/2) or Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2). Height of Rhombus is defined as the shortest perpendicular distance from its base to its opposite side & Acute Angle of Rhombus is the angle inside the Rhombus which is less than 90 degree.
How to calculate Long Diagonal of Rhombus given Height?
The Long Diagonal of Rhombus given Height formula is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the height of the Rhombus is calculated using Long Diagonal of Rhombus = Height of Rhombus/sin(Acute Angle of Rhombus/2). To calculate Long Diagonal of Rhombus given Height, you need Height of Rhombus (h) & Acute Angle of Rhombus (∠Acute). With our tool, you need to enter the respective value for Height 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 Height 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 = Area of Rhombus/(Side of Rhombus*sin(Acute Angle of Rhombus/2))
• Long Diagonal of Rhombus = Perimeter of Rhombus/2*cos(Acute Angle of Rhombus/2)
• Long Diagonal of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus/2)
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