Height of Octagon Calculator

✖The Edge Length of Octagon is the length of any edge of the Regular Octagon.ⓘ Edge Length of Octagon [l_e]

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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 [h]

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Height of Octagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Octagon = (1+sqrt(2))*Edge Length of Octagon
h = (1+sqrt(2))*l_e
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.
Edge Length of Octagon - (Measured in Meter) - The Edge Length of Octagon is the length of any edge of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Octagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (1+sqrt(2))*l_e --> (1+sqrt(2))*10

Evaluating ... ...

h = 24.142135623731

STEP 3: Convert Result to Output's Unit

24.142135623731 Meter --> No Conversion Required

FINAL ANSWER

24.142135623731 ≈ 24.14214 Meter <-- Height of Octagon

(Calculation completed in 00.006 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 Shashwati Tidke

Vishwakarma Institute of Technology (VIT), Pune

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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 Calculators

Height of Octagon given Area

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

Height of Octagon given Perimeter

LaTeX Go Height of Octagon = (1+sqrt(2))*Perimeter of Octagon/8

Height of Octagon

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

Height of Octagon given Medium Diagonal

LaTeX Go Height of Octagon = Medium Diagonal of Octagon*1

Height of Octagon Formula

LaTeX Go

Height of Octagon = (1+sqrt(2))*Edge Length of Octagon
h = (1+sqrt(2))*l_e

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?

Height of Octagon calculator uses Height of Octagon = (1+sqrt(2))*Edge Length of Octagon to calculate the Height of Octagon, The Height of Octagon formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon. Height of Octagon is denoted by h symbol.

How to calculate Height of Octagon using this online calculator? To use this online calculator for Height of Octagon, enter Edge Length of Octagon (l_e) and hit the calculate button. Here is how the Height of Octagon calculation can be explained with given input values -> 24.14214 = (1+sqrt(2))*10.

FAQ

What is Height of Octagon?

The Height of Octagon formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon and is represented as h = (1+sqrt(2))*l_e or Height of Octagon = (1+sqrt(2))*Edge Length of Octagon. The Edge Length of Octagon is the length of any edge of the Regular Octagon.

How to calculate Height of Octagon?

The Height of Octagon formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon is calculated using Height of Octagon = (1+sqrt(2))*Edge Length of Octagon. To calculate Height of Octagon, you need Edge Length of Octagon (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length 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 = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon
Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon

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