Area of Octagon given Long Diagonal 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 [d_Long]

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✖The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.ⓘ Area of Octagon given Long Diagonal [A]

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Formula

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Area of Octagon given Long Diagonal

Formula

A = \frac{{d Long}^{2}}{\sqrt{2}}

Example

478.0042 m² = \frac{{26 m}^{2}}{\sqrt{2}}

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Area of Octagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2))
A = (d_Long^2)/(sqrt(2))
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Octagon: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (d_Long^2)/(sqrt(2)) --> (26^2)/(sqrt(2))

Evaluating ... ...

A = 478.004184082106

STEP 3: Convert Result to Output's Unit

478.004184082106 Square Meter --> No Conversion Required

FINAL ANSWER

478.004184082106 ≈ 478.0042 Square Meter <-- Area of Octagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Area of Octagon Calculators

Area of Octagon given Edge Length and Inradius

Go Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon

Area of Octagon given Long Diagonal

Go Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2))

Area of Octagon given Edge Length

Go Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2

Area of Octagon given edge

Go Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2

Area of Octagon given Long Diagonal Formula

Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2))
A = (d_Long^2)/(sqrt(2))

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 Area of Octagon given Long Diagonal?

Area of Octagon given Long Diagonal calculator uses Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2)) to calculate the Area of Octagon, The Area of Octagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the long diagonal of the Octagon. Area of Octagon is denoted by A symbol.

How to calculate Area of Octagon given Long Diagonal using this online calculator? To use this online calculator for Area of Octagon given Long Diagonal, enter Long Diagonal of Octagon (d_Long) and hit the calculate button. Here is how the Area of Octagon given Long Diagonal calculation can be explained with given input values -> 478.0042 = (26^2)/(sqrt(2)).

FAQ

What is Area of Octagon given Long Diagonal?

The Area of Octagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the long diagonal of the Octagon and is represented as A = (d_Long^2)/(sqrt(2)) or Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2)). The Long Diagonal of Octagon is the length of longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon.

How to calculate Area of Octagon given Long Diagonal?

The Area of Octagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary of the Regular Octagon, and calculated using the long diagonal of the Octagon is calculated using Area of Octagon = (Long Diagonal of Octagon^2)/(sqrt(2)). To calculate Area of Octagon given Long Diagonal, you need Long Diagonal of Octagon (d_Long). With our tool, you need to enter the respective value for Long Diagonal 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 Area of Octagon?

In this formula, Area of Octagon uses Long Diagonal of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area of Octagon = 4*Edge Length of Octagon*Inradius of Octagon
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2
Area of Octagon = 2*(1+sqrt(2))*Edge Length of Octagon^2

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