Long Diagonal of Octagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon)
dLong = sqrt(sqrt(2)*A)
This formula uses 1 Functions, 2 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 Octagon - (Measured in Meter) - The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.
Area of Octagon - (Measured in Square Meter) - The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.
STEP 1: Convert Input(s) to Base Unit
Area of Octagon: 480 Square Meter --> 480 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dLong = sqrt(sqrt(2)*A) --> sqrt(sqrt(2)*480)
Evaluating ... ...
dLong = 26.0542224973052
STEP 3: Convert Result to Output's Unit
26.0542224973052 Meter --> No Conversion Required
FINAL ANSWER
26.0542224973052 26.05422 Meter <-- Long Diagonal of Octagon
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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Long Diagonal of Octagon Calculators

Long Diagonal of Octagon given Medium Diagonal
​ LaTeX ​ Go Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Medium Diagonal of Octagon
Long Diagonal of Octagon
​ LaTeX ​ Go Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon
Long Diagonal of Octagon given Height
​ LaTeX ​ Go Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon
Long Diagonal of Octagon given Short Diagonal
​ LaTeX ​ Go Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon

Long Diagonal of Octagon given Area Formula

​LaTeX ​Go
Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon)
dLong = sqrt(sqrt(2)*A)

What is an Octagon?

Octagon is a polygon in geometry, which has 8 sides and 8 angles. That means the number of vertices is 8 and the number of edges is 8. All the sides are joined with each other end-to-end to form a shape. These sides are in a straight line form; they are not curved or disjoint with each other. Each interior angle of a regular octagon is 135° and each exterior angle will be 45°.

How to Calculate Long Diagonal of Octagon given Area?

Long Diagonal of Octagon given Area calculator uses Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon) to calculate the Long Diagonal of Octagon, The Long Diagonal of Octagon given Area formula is defined as the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon, and calculated using the area of the Octagon. Long Diagonal of Octagon is denoted by dLong symbol.

How to calculate Long Diagonal of Octagon given Area using this online calculator? To use this online calculator for Long Diagonal of Octagon given Area, enter Area of Octagon (A) and hit the calculate button. Here is how the Long Diagonal of Octagon given Area calculation can be explained with given input values -> 26.05422 = sqrt(sqrt(2)*480).

FAQ

What is Long Diagonal of Octagon given Area?
The Long Diagonal of Octagon given Area formula is defined as the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon, and calculated using the area of the Octagon and is represented as dLong = sqrt(sqrt(2)*A) or Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon). The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.
How to calculate Long Diagonal of Octagon given Area?
The Long Diagonal of Octagon given Area formula is defined as the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon, and calculated using the area of the Octagon is calculated using Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon). To calculate Long Diagonal of Octagon given Area, you need Area of Octagon (A). With our tool, you need to enter the respective value for Area of Octagon 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 Octagon?
In this formula, Long Diagonal of Octagon uses Area of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon
  • Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Medium Diagonal of Octagon
  • Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon
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