Height of Octagon given Area Calculator

✖The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.ⓘ Area of Octagon [A]

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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 Area [h]

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Height of Octagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)
h = sqrt(((1+sqrt(2))/2)*A)
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.
Area of Octagon - (Measured in Square Meter) - The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

STEP 1: Convert Input(s) to Base Unit

Area of Octagon: 480 Square Meter --> 480 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(((1+sqrt(2))/2)*A) --> sqrt(((1+sqrt(2))/2)*480)

Evaluating ... ...

h = 24.0709629007554

STEP 3: Convert Result to Output's Unit

24.0709629007554 Meter --> No Conversion Required

FINAL ANSWER

24.0709629007554 ≈ 24.07096 Meter <-- Height of Octagon

(Calculation completed in 00.004 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 Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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 given Area Formula

LaTeX Go

Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)
h = sqrt(((1+sqrt(2))/2)*A)

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 Area?

Height of Octagon given Area calculator uses Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon) to calculate the Height of Octagon, The Height of Octagon given Area formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the area of the Octagon. Height of Octagon is denoted by h symbol.

How to calculate Height of Octagon given Area using this online calculator? To use this online calculator for Height of Octagon given Area, enter Area of Octagon (A) and hit the calculate button. Here is how the Height of Octagon given Area calculation can be explained with given input values -> 24.07096 = sqrt(((1+sqrt(2))/2)*480).

FAQ

What is Height of Octagon given Area?

The Height of Octagon given Area formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the area of the Octagon and is represented as h = sqrt(((1+sqrt(2))/2)*A) or Height of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon). The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

How to calculate Height of Octagon given Area?

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

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