Medium 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 Medium Diagonal of Octagon is the length of medium diagonals or the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular Octagon.ⓘ Medium Diagonal of Octagon given Circumradius [d_Medium]

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Formula

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Medium Diagonal of Octagon given Circumradius

Formula

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

Example

`"24.02087m"=sqrt(2+sqrt(2))*"13m"`

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Medium Diagonal of Octagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Medium Diagonal of Octagon = sqrt(2+sqrt(2))*Circumradius of Octagon
d_Medium = sqrt(2+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

Medium Diagonal of Octagon - (Measured in Meter) - The Medium Diagonal of Octagon is the length of medium diagonals or the line joining one vertex and any one of vertices that closest to the opposite vertex of first vertex of the Regular 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_Medium = sqrt(2+sqrt(2))*r_c --> sqrt(2+sqrt(2))*13

Evaluating ... ...

d_Medium = 24.0208678452935

STEP 3: Convert Result to Output's Unit

24.0208678452935 Meter --> No Conversion Required

FINAL ANSWER

24.0208678452935 ≈ 24.02087 Meter <-- Medium Diagonal of Octagon

(Calculation completed in 00.004 seconds)

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< 7 Medium Diagonal of Octagon Calculators

Medium Diagonal of Octagon given Short Diagonal

Go Medium Diagonal of Octagon = sqrt(1+(1/(sqrt(2))))*Short Diagonal of Octagon

Medium Diagonal of Octagon given Long Diagonal

Go Medium Diagonal of Octagon = ((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon

Medium Diagonal of Octagon given Circumradius

Go Medium Diagonal of Octagon = sqrt(2+sqrt(2))*Circumradius of Octagon

Medium Diagonal of Octagon given Area

Go Medium Diagonal of Octagon = sqrt(((1+sqrt(2))/2)*Area of Octagon)

Medium Diagonal of Octagon given Perimeter

Go Medium Diagonal of Octagon = (1+sqrt(2))*Perimeter of Octagon/8

Medium Diagonal of Octagon

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

Medium Diagonal of Octagon given Inradius

Go Medium Diagonal of Octagon = 2*Inradius of Octagon

Medium Diagonal of Octagon given Circumradius Formula

Medium Diagonal of Octagon = sqrt(2+sqrt(2))*Circumradius of Octagon
d_Medium = sqrt(2+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 Medium Diagonal of Octagon given Circumradius?

Medium Diagonal of Octagon given Circumradius calculator uses Medium Diagonal of Octagon = sqrt(2+sqrt(2))*Circumradius of Octagon to calculate the Medium Diagonal of Octagon, The Medium Diagonal of Octagon given Circumradius formula is defined as the length of medium diagonals or the line joining one vertex and any one of the vertices that is closest to the opposite vertex of the first vertex of the Regular Octagon and calculated using the circumradius of the Octagon. Medium Diagonal of Octagon is denoted by d_Medium symbol.

How to calculate Medium Diagonal of Octagon given Circumradius using this online calculator? To use this online calculator for Medium Diagonal of Octagon given Circumradius, enter Circumradius of Octagon (r_c) and hit the calculate button. Here is how the Medium Diagonal of Octagon given Circumradius calculation can be explained with given input values -> 24.02087 = sqrt(2+sqrt(2))*13.

FAQ

What is Medium Diagonal of Octagon given Circumradius?

The Medium Diagonal of Octagon given Circumradius formula is defined as the length of medium diagonals or the line joining one vertex and any one of the vertices that is closest to the opposite vertex of the first vertex of the Regular Octagon and calculated using the circumradius of the Octagon and is represented as d_Medium = sqrt(2+sqrt(2))*r_c or Medium Diagonal of Octagon = sqrt(2+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 Medium Diagonal of Octagon given Circumradius?

The Medium Diagonal of Octagon given Circumradius formula is defined as the length of medium diagonals or the line joining one vertex and any one of the vertices that is closest to the opposite vertex of the first vertex of the Regular Octagon and calculated using the circumradius of the Octagon is calculated using Medium Diagonal of Octagon = sqrt(2+sqrt(2))*Circumradius of Octagon. To calculate Medium 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 Medium Diagonal of Octagon?

In this formula, Medium Diagonal of Octagon uses Circumradius of Octagon. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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