Short Diagonal of Octagon given Area 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 given Area [d_Short]

⎘ Copy

👎

Formula

✖

Short Diagonal of Octagon given Area

Formula

`"d"_{"Short"} = sqrt("A"/(sqrt(2)))`

Example

`"18.42312m"=sqrt("480m²"/(sqrt(2)))`

Calculator

LaTeX

Reset

👍

Download Octagon Formula PDF

Short Diagonal of Octagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2)))
d_Short = sqrt(A/(sqrt(2)))
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

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.
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

d_Short = sqrt(A/(sqrt(2))) --> sqrt(480/(sqrt(2)))

Evaluating ... ...

d_Short = 18.4231174063876

STEP 3: Convert Result to Output's Unit

18.4231174063876 Meter --> No Conversion Required

FINAL ANSWER

18.4231174063876 ≈ 18.42312 Meter <-- Short Diagonal of Octagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Octagon » Diagonal of Octagon » Short Diagonal of Octagon » Short Diagonal of Octagon given Area

Credits

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

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 8 Short Diagonal of Octagon Calculators

Short Diagonal of Octagon given Medium Diagonal

Go Short Diagonal of Octagon = sqrt(2-sqrt(2))*Medium Diagonal of Octagon

Short Diagonal of Octagon given Perimeter

Go Short Diagonal of Octagon = sqrt(2+sqrt(2))*Perimeter of Octagon/8

Short Diagonal of Octagon

Go Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon

Short Diagonal of Octagon given Inradius

Go Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon

Short Diagonal of Octagon given Height

Go Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon

Short Diagonal of Octagon given Area

Go Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2)))

Short Diagonal of Octagon given Long Diagonal

Go Short Diagonal of Octagon = Long Diagonal of Octagon/(sqrt(2))

Short Diagonal of Octagon given Circumradius

Go Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon

< 6 Diagonal of Octagon Calculators

Long Diagonal of Octagon

Go Long Diagonal of Octagon = sqrt(4+(2*sqrt(2)))*Edge Length of Octagon

Short Diagonal of Octagon

Go Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon

Short Diagonal of Octagon given Area

Go Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2)))

Medium Diagonal of Octagon

Go Medium Diagonal of Octagon = (1+sqrt(2))*Edge Length of Octagon

Long Diagonal of Octagon given Circumradius

Go Long Diagonal of Octagon = 2*Circumradius of Octagon

Medium Diagonal of Octagon given Inradius

Go Medium Diagonal of Octagon = 2*Inradius of Octagon

Short Diagonal of Octagon given Area Formula

Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2)))
d_Short = sqrt(A/(sqrt(2)))

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 Short Diagonal of Octagon given Area?

Short Diagonal of Octagon given Area calculator uses Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2))) to calculate the Short Diagonal of Octagon, The Short Diagonal of Octagon given Area formula is defined as the length of the smallest diagonals or the line joining a vertex and any of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the area of the Octagon. Short Diagonal of Octagon is denoted by d_Short symbol.

How to calculate Short Diagonal of Octagon given Area using this online calculator? To use this online calculator for Short Diagonal of Octagon given Area, enter Area of Octagon (A) and hit the calculate button. Here is how the Short Diagonal of Octagon given Area calculation can be explained with given input values -> 18.42312 = sqrt(480/(sqrt(2))).

FAQ

What is Short Diagonal of Octagon given Area?

The Short Diagonal of Octagon given Area formula is defined as the length of the smallest diagonals or the line joining a vertex and any of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the area of the Octagon and is represented as d_Short = sqrt(A/(sqrt(2))) or Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2))). The Area of Octagon is the total quantity of plane enclosed by the boundary of the Regular Octagon.

How to calculate Short Diagonal of Octagon given Area?

The Short Diagonal of Octagon given Area formula is defined as the length of the smallest diagonals or the line joining a vertex and any of the vertices that come next to the adjacent vertices of the first vertex of the Octagon and calculated using the area of the Octagon is calculated using Short Diagonal of Octagon = sqrt(Area of Octagon/(sqrt(2))). To calculate Short Diagonal 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 Short Diagonal of Octagon?

In this formula, Short Diagonal of Octagon uses Area of Octagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon
Short Diagonal of Octagon = Long Diagonal of Octagon/(sqrt(2))
Short Diagonal of Octagon = sqrt(2-sqrt(2))*Medium Diagonal of Octagon
Short Diagonal of Octagon = sqrt(2-sqrt(2))*Height of Octagon
Short Diagonal of Octagon = sqrt(2+sqrt(2))*Perimeter of Octagon/8
Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon
Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon
Short Diagonal of Octagon = sqrt(2+sqrt(2))*Edge Length of Octagon

Home

FREE PDFs

🔍 Search