Long Diagonal of Octagon given Short Diagonal Calculator

✖The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.ⓘ Short Diagonal of Octagon [d_Short]

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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 Short Diagonal [d_Long]

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Long Diagonal of Octagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon
d_Long = sqrt(2)*d_Short
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.
Short Diagonal of Octagon - (Measured in Meter) - The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Octagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = sqrt(2)*d_Short --> sqrt(2)*18

Evaluating ... ...

d_Long = 25.4558441227157

STEP 3: Convert Result to Output's Unit

25.4558441227157 Meter --> No Conversion Required

FINAL ANSWER

25.4558441227157 ≈ 25.45584 Meter <-- Long Diagonal of Octagon

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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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 Short Diagonal Formula

LaTeX Go

Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon
d_Long = sqrt(2)*d_Short

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 Short Diagonal?

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

How to calculate Long Diagonal of Octagon given Short Diagonal using this online calculator? To use this online calculator for Long Diagonal of Octagon given Short Diagonal, enter Short Diagonal of Octagon (d_Short) and hit the calculate button. Here is how the Long Diagonal of Octagon given Short Diagonal calculation can be explained with given input values -> 25.45584 = sqrt(2)*18.

FAQ

What is Long Diagonal of Octagon given Short Diagonal?

The Long Diagonal of Octagon given Short Diagonal formula is defined as the length of the longest diagonal or the line joining any pair of opposite vertices of the Regular Octagon and calculated using the short diagonal of the Octagon and is represented as d_Long = sqrt(2)*d_Short or Long Diagonal of Octagon = sqrt(2)*Short Diagonal of Octagon. The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

How to calculate Long Diagonal of Octagon given Short Diagonal?

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

In this formula, Long Diagonal of Octagon uses Short Diagonal 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(4-(2*sqrt(2)))*Height of Octagon

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