Long Diagonal of Octagon given Area Calculator

✖The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.ⓘ Long Diagonal of Octagon given Area [d_Long]

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Formula

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Long Diagonal of Octagon given Area

Formula

`"d"_{"Long"} = sqrt(sqrt(2)*"A")`

Example

`"26.05422m"=sqrt(sqrt(2)*"480m²")`

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Long Diagonal of Octagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon)
d_Long = 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

d_Long = sqrt(sqrt(2)*A) --> sqrt(sqrt(2)*480)

Evaluating ... ...

d_Long = 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 00.004 seconds)

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Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 8 Long Diagonal of Octagon Calculators

Long Diagonal of Octagon given Medium Diagonal

Go Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Medium Diagonal of Octagon

Long Diagonal of Octagon given Perimeter

Go Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/8

Long Diagonal of Octagon

Go Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon

Long Diagonal of Octagon given Inradius

Go Long Diagonal of Octagon = 2*sqrt(4-(2*sqrt(2)))*Inradius of Octagon

Long Diagonal of Octagon given Height

Go Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon

Long Diagonal of Octagon given Area

Go Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon)

Long Diagonal of Octagon given Short Diagonal

Go Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon

Long Diagonal of Octagon given Circumradius

Go Long Diagonal of Octagon = 2*Circumradius of Octagon

Long Diagonal of Octagon given Area Formula

Long Diagonal of Octagon = sqrt(sqrt(2)*Area of Octagon)
d_Long = 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 d_Long 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 d_Long = 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 7 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
Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon
Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Perimeter of Octagon/8
Long Diagonal of Octagon = 2*sqrt(4-(2*sqrt(2)))*Inradius of Octagon
Long Diagonal of Octagon = 2*Circumradius of Octagon

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