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))*le
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))*le --> (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 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Vishwakarma Institute of Technology (VIT), Pune
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8 Height of Octagon Calculators

Height of Octagon given Circumradius
Go Height of Octagon = ((2*Circumradius of Octagon)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2))
Height of Octagon given Short Diagonal
Go Height of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon
Height of Octagon given Long Diagonal
Go Height of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon
Height of Octagon given Area
Go Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)
Height of Octagon given Perimeter
Go Height of Octagon = (1+sqrt(2))*Perimeter of Octagon/8
Height of Octagon
Go Height of Octagon = (1+sqrt(2))*Edge Length of Octagon
Height of Octagon given Medium Diagonal
Go Height of Octagon = Medium Diagonal of Octagon*1
Height of Octagon given Inradius
Go Height of Octagon = 2*Inradius of Octagon

4 Height of Octagon Calculators

Height of Octagon given Area
Go Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)
Height of Octagon given Perimeter
Go Height of Octagon = (1+sqrt(2))*Perimeter of Octagon/8
Height of Octagon
Go Height of Octagon = (1+sqrt(2))*Edge Length of Octagon
Height of Octagon given Medium Diagonal
Go Height of Octagon = Medium Diagonal of Octagon*1

Height of Octagon Formula

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

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 (le) 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))*le 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 (le). 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 10 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
  • Height of Octagon = (1+sqrt(2))*Perimeter of Octagon/8
  • Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)
  • Height of Octagon = ((2*Circumradius of Octagon)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2))
  • Height of Octagon = Medium Diagonal of Octagon*1
  • Height of Octagon = Medium Diagonal of Octagon*1
  • Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)
  • Height of Octagon = (1+sqrt(2))*Perimeter of Octagon/8
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