Short Diagonal of Octagon given Circumradius Calculator

✖The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.ⓘ Circumradius of Octagon [r_c]

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✖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 Circumradius [d_Short]

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Formula

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Short Diagonal of Octagon given Circumradius

Formula

`"d"_{"Short"} = sqrt(2)*"r"_{"c"}`

Example

`"18.38478m"=sqrt(2)*"13m"`

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Short Diagonal of Octagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon
d_Short = sqrt(2)*r_c
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.
Circumradius of Octagon - (Measured in Meter) - The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Octagon: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Short = sqrt(2)*r_c --> sqrt(2)*13

Evaluating ... ...

d_Short = 18.3847763108502

STEP 3: Convert Result to Output's Unit

18.3847763108502 Meter --> No Conversion Required

FINAL ANSWER

18.3847763108502 ≈ 18.38478 Meter <-- Short Diagonal of Octagon

(Calculation completed in 00.004 seconds)

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< 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

Short Diagonal of Octagon given Circumradius Formula

Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon
d_Short = sqrt(2)*r_c

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 Circumradius?

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

How to calculate Short Diagonal of Octagon given Circumradius using this online calculator? To use this online calculator for Short Diagonal of Octagon given Circumradius, enter Circumradius of Octagon (r_c) and hit the calculate button. Here is how the Short Diagonal of Octagon given Circumradius calculation can be explained with given input values -> 18.38478 = sqrt(2)*13.

FAQ

What is Short Diagonal of Octagon given Circumradius?

The Short Diagonal of Octagon given Circumradius formula is defined as the length of the smallest diagonals or the line joining a vertex and any one of the vertices that comes next to the adjacent vertices of the first vertex of the Octagon and calculated using the circumradius of the Octagon and is represented as d_Short = sqrt(2)*r_c or Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon. The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

How to calculate Short Diagonal of Octagon given Circumradius?

The Short Diagonal of Octagon given Circumradius formula is defined as the length of the smallest diagonals or the line joining a vertex and any one of the vertices that comes next to the adjacent vertices of the first vertex of the Octagon and calculated using the circumradius of the Octagon is calculated using Short Diagonal of Octagon = sqrt(2)*Circumradius of Octagon. To calculate Short Diagonal of Octagon given Circumradius, you need Circumradius of Octagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius of Octagon. We can use 7 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 = sqrt(Area of Octagon/(sqrt(2)))
Short Diagonal of Octagon = 2*sqrt(2-sqrt(2))*Inradius of Octagon

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