Diagonal of Decagon across Four Sides given Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal across Four Sides of Decagon = (2*Inradius of Decagon)
d4 = (2*ri)
This formula uses 2 Variables
Variables Used
Diagonal across Four Sides of Decagon - (Measured in Meter) - Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.
Inradius of Decagon - (Measured in Meter) - Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.
STEP 1: Convert Input(s) to Base Unit
Inradius of Decagon: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = (2*ri) --> (2*15)
Evaluating ... ...
d4 = 30
STEP 3: Convert Result to Output's Unit
30 Meter --> No Conversion Required
FINAL ANSWER
30 Meter <-- Diagonal across Four Sides of Decagon
(Calculation completed in 00.004 seconds)

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Diagonal of Decagon across Four Sides Calculators

Diagonal of Decagon across Four Sides given Diagonal across Three Sides
​ LaTeX ​ Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
Diagonal of Decagon across Four Sides given Diagonal across Two Sides
​ LaTeX ​ Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Diagonal of Decagon across Four Sides given Diagonal across Five Sides
​ LaTeX ​ Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal of Decagon across Four Sides
​ LaTeX ​ Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

Diagonal of Decagon Calculators

Diagonal of Decagon across Three Sides
​ LaTeX ​ Go Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*Side of Decagon
Diagonal of Decagon across Two Sides
​ LaTeX ​ Go Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*Side of Decagon
Diagonal of Decagon across Four Sides
​ LaTeX ​ Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon
Diagonal of Decagon across Five Sides
​ LaTeX ​ Go Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon

Diagonal of Decagon across Four Sides given Inradius Formula

​LaTeX ​Go
Diagonal across Four Sides of Decagon = (2*Inradius of Decagon)
d4 = (2*ri)

What is a Decagon?

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Diagonal of Decagon across Four Sides given Inradius?

Diagonal of Decagon across Four Sides given Inradius calculator uses Diagonal across Four Sides of Decagon = (2*Inradius of Decagon) to calculate the Diagonal across Four Sides of Decagon, The Diagonal of Decagon across Four Sides given Inradius formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the inradius. Diagonal across Four Sides of Decagon is denoted by d4 symbol.

How to calculate Diagonal of Decagon across Four Sides given Inradius using this online calculator? To use this online calculator for Diagonal of Decagon across Four Sides given Inradius, enter Inradius of Decagon (ri) and hit the calculate button. Here is how the Diagonal of Decagon across Four Sides given Inradius calculation can be explained with given input values -> 30 = (2*15).

FAQ

What is Diagonal of Decagon across Four Sides given Inradius?
The Diagonal of Decagon across Four Sides given Inradius formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the inradius and is represented as d4 = (2*ri) or Diagonal across Four Sides of Decagon = (2*Inradius of Decagon). Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.
How to calculate Diagonal of Decagon across Four Sides given Inradius?
The Diagonal of Decagon across Four Sides given Inradius formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the inradius is calculated using Diagonal across Four Sides of Decagon = (2*Inradius of Decagon). To calculate Diagonal of Decagon across Four Sides given Inradius, you need Inradius of Decagon (ri). With our tool, you need to enter the respective value for Inradius of Decagon 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 Diagonal across Four Sides of Decagon?
In this formula, Diagonal across Four Sides of Decagon uses Inradius of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
  • Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
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