Height 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 Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.ⓘ Height of Octagon given Long Diagonal [h]

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Height of Octagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon
h = ((sqrt(2+sqrt(2)))/2)*d_Long
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

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.
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

h = ((sqrt(2+sqrt(2)))/2)*d_Long --> ((sqrt(2+sqrt(2)))/2)*26

Evaluating ... ...

h = 24.0208678452935

STEP 3: Convert Result to Output's Unit

24.0208678452935 Meter --> No Conversion Required

FINAL ANSWER

24.0208678452935 ≈ 24.02087 Meter <-- Height 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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< Height of Octagon Calculators

Height of Octagon given Short Diagonal

LaTeX Go Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon

Height of Octagon given Long Diagonal

LaTeX Go Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon

Height of Octagon

LaTeX Go Height of Octagon = (1+sqrt(2))*Edge Length of Octagon

Height of Octagon given Inradius

LaTeX Go Height of Octagon = 2*Inradius of Octagon

Height of Octagon given Long Diagonal Formula

LaTeX Go

Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon
h = ((sqrt(2+sqrt(2)))/2)*d_Long

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 Height of Octagon given Long Diagonal?

Height of Octagon given Long Diagonal calculator uses Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon to calculate the Height of Octagon, The Height of Octagon given Long Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the long diagonal of the Octagon. Height of Octagon is denoted by h symbol.

How to calculate Height of Octagon given Long Diagonal using this online calculator? To use this online calculator for Height of Octagon given Long Diagonal, enter Long Diagonal of Octagon (d_Long) and hit the calculate button. Here is how the Height of Octagon given Long Diagonal calculation can be explained with given input values -> 24.02087 = ((sqrt(2+sqrt(2)))/2)*26.

FAQ

What is Height of Octagon given Long Diagonal?

The Height of Octagon given Long Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the long diagonal of the Octagon and is represented as h = ((sqrt(2+sqrt(2)))/2)*d_Long or Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon. 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 Height of Octagon given Long Diagonal?

The Height of Octagon given Long Diagonal formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the long diagonal of the Octagon is calculated using Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon. To calculate Height 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 Height of Octagon?

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

Height of Octagon = 2*Inradius of Octagon
Height of Octagon = (1+sqrt(2))*Edge Length of Octagon
Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon

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