Long Diagonal of Octagon given Height Calculator

✖The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.ⓘ Height of Octagon [h]

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✖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 Height [d_Long]

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Long Diagonal of Octagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon
d_Long = sqrt(4-(2*sqrt(2)))*h
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.
Height of Octagon - (Measured in Meter) - The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Height of Octagon: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = sqrt(4-(2*sqrt(2)))*h --> sqrt(4-(2*sqrt(2)))*24

Evaluating ... ...

d_Long = 25.9774128070175

STEP 3: Convert Result to Output's Unit

25.9774128070175 Meter --> No Conversion Required

FINAL ANSWER

25.9774128070175 ≈ 25.97741 Meter <-- Long Diagonal of Octagon

(Calculation completed in 00.020 seconds)

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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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< 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 Height Formula

LaTeX Go

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

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 Height?

Long Diagonal of Octagon given Height calculator uses Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon to calculate the Long Diagonal of Octagon, The Long Diagonal of Octagon given Height formula is defined as the length of the longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon and calculated using the height of the Octagon. Long Diagonal of Octagon is denoted by d_Long symbol.

How to calculate Long Diagonal of Octagon given Height using this online calculator? To use this online calculator for Long Diagonal of Octagon given Height, enter Height of Octagon (h) and hit the calculate button. Here is how the Long Diagonal of Octagon given Height calculation can be explained with given input values -> 25.97741 = sqrt(4-(2*sqrt(2)))*24.

FAQ

What is Long Diagonal of Octagon given Height?

The Long Diagonal of Octagon given Height formula is defined as the length of the longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon and calculated using the height of the Octagon and is represented as d_Long = sqrt(4-(2*sqrt(2)))*h or Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon. The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

How to calculate Long Diagonal of Octagon given Height?

The Long Diagonal of Octagon given Height formula is defined as the length of the longest diagonals or the line joining any pair of opposite vertices of the Regular Octagon and calculated using the height of the Octagon is calculated using Long Diagonal of Octagon = sqrt(4-(2*sqrt(2)))*Height of Octagon. To calculate Long Diagonal of Octagon given Height, you need Height of Octagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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