Medium Diagonal of Octagon Calculator

✖The Edge Length of Octagon is the length of any edge of the Regular Octagon.ⓘ Edge Length of Octagon [l_e]

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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 [d_Medium]

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Medium Diagonal of Octagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Medium Diagonal of Octagon = (1+sqrt(2))*Edge Length of Octagon
d_Medium = (1+sqrt(2))*l_e
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.
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

d_Medium = (1+sqrt(2))*l_e --> (1+sqrt(2))*10

Evaluating ... ...

d_Medium = 24.142135623731

STEP 3: Convert Result to Output's Unit

24.142135623731 Meter --> No Conversion Required

FINAL ANSWER

24.142135623731 ≈ 24.14214 Meter <-- Medium Diagonal 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 Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Medium Diagonal of Octagon Calculators

Medium Diagonal of Octagon given Short Diagonal

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

Medium Diagonal of Octagon given Long Diagonal

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

Medium Diagonal of Octagon given Perimeter

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

Medium Diagonal of Octagon

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

< Diagonal of Octagon Calculators

Long Diagonal of Octagon

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

Medium Diagonal of Octagon

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

Long Diagonal of Octagon given Circumradius

LaTeX Go Long Diagonal of Octagon = 2*Circumradius of Octagon

Medium Diagonal of Octagon given Inradius

LaTeX Go Medium Diagonal of Octagon = 2*Inradius of Octagon

Medium Diagonal of Octagon Formula

LaTeX Go

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

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?

Medium Diagonal of Octagon calculator uses Medium Diagonal of Octagon = (1+sqrt(2))*Edge Length of Octagon to calculate the Medium Diagonal of Octagon, The Medium Diagonal of Octagon formula is defined as 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 is denoted by d_Medium symbol.

How to calculate Medium Diagonal of Octagon using this online calculator? To use this online calculator for Medium Diagonal of Octagon, enter Edge Length of Octagon (l_e) and hit the calculate button. Here is how the Medium Diagonal of Octagon calculation can be explained with given input values -> 24.14214 = (1+sqrt(2))*10.

FAQ

What is Medium Diagonal of Octagon?

The Medium Diagonal of Octagon formula is defined as 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 and is represented as d_Medium = (1+sqrt(2))*l_e or Medium Diagonal 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 Medium Diagonal of Octagon?

The Medium Diagonal of Octagon formula is defined as 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 is calculated using Medium Diagonal of Octagon = (1+sqrt(2))*Edge Length of Octagon. To calculate Medium Diagonal of Octagon, you need Edge Length of Octagon (l_e). 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 Medium Diagonal of Octagon?

In this formula, Medium Diagonal of Octagon uses Edge Length of Octagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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