Long Diagonal of Rhombus given Short Diagonal and Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)
dLong = sqrt(4*S^2-dShort^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
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.
STEP 1: Convert Input(s) to Base Unit
Side of Rhombus: 10 Meter --> 10 Meter No Conversion Required
Short Diagonal of Rhombus: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dLong = sqrt(4*S^2-dShort^2) --> sqrt(4*10^2-8^2)
Evaluating ... ...
dLong = 18.3303027798234
STEP 3: Convert Result to Output's Unit
18.3303027798234 Meter --> No Conversion Required
FINAL ANSWER
18.3303027798234 18.3303 Meter <-- Long Diagonal of Rhombus
(Calculation completed in 00.004 seconds)

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

8 Diagonal of Rhombus Calculators

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)
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)
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)
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
Go Short Diagonal of Rhombus = 2*Side 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)
Short Diagonal of Rhombus given Area and Long Diagonal
Go Short Diagonal of Rhombus = (2*Area of Rhombus)/(Long Diagonal of Rhombus)
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 Short Diagonal and Side Formula

Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2)
dLong = sqrt(4*S^2-dShort^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 Long Diagonal of Rhombus given Short Diagonal and Side?

Long Diagonal of Rhombus given Short Diagonal and Side calculator uses Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2) to calculate the Long Diagonal of Rhombus, Long Diagonal of Rhombus given Short Diagonal and Side is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and side of the Rhombus. Long Diagonal of Rhombus is denoted by dLong symbol.

How to calculate Long Diagonal of Rhombus given Short Diagonal and Side using this online calculator? To use this online calculator for Long Diagonal of Rhombus given Short Diagonal and Side, enter Side of Rhombus (S) & Short Diagonal of Rhombus (dShort) and hit the calculate button. Here is how the Long Diagonal of Rhombus given Short Diagonal and Side calculation can be explained with given input values -> 18.3303 = sqrt(4*10^2-8^2).

FAQ

What is Long Diagonal of Rhombus given Short Diagonal and Side?
Long Diagonal of Rhombus given Short Diagonal and Side is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and side of the Rhombus and is represented as dLong = sqrt(4*S^2-dShort^2) or Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2). The Side of Rhombus is the length of any of the four edges & A Short Diagonal of Rhombus is a length of the line joining the obtuse angle corners of a Rhombus.
How to calculate Long Diagonal of Rhombus given Short Diagonal and Side?
Long Diagonal of Rhombus given Short Diagonal and Side is defined as the length of the line joining the acute angle corners of the Rhombus, calculated using the short diagonal and side of the Rhombus is calculated using Long Diagonal of Rhombus = sqrt(4*Side of Rhombus^2-Short Diagonal of Rhombus^2). To calculate Long Diagonal of Rhombus given Short Diagonal and Side, you need Side of Rhombus (S) & Short Diagonal of Rhombus (dShort). With our tool, you need to enter the respective value for Side of Rhombus & Short Diagonal 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 Side of Rhombus & Short Diagonal of Rhombus. We can use 11 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 = (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 = Height of Rhombus/sin(Acute Angle of Rhombus/2)
  • Long Diagonal of Rhombus = (2*Inradius of Rhombus)/sin(Acute Angle of Rhombus/2)
  • Long Diagonal of Rhombus = 2*Side of Rhombus*cos(Acute Angle of Rhombus/2)
  • Long Diagonal of Rhombus = (2*Area of Rhombus)/(Short Diagonal of Rhombus)
  • Long Diagonal of Rhombus = Short Diagonal of Rhombus/tan(Acute Angle of Rhombus/2)
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