Diagonal of Decagon across Two Sides given Circumradius Calculator

✖Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.ⓘ Circumradius of Decagon [r_c]

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✖Diagonal across Two Sides of Decagon is a straight line joining two non-adjacent sides which is across two sides of the Decagon.ⓘ Diagonal of Decagon across Two Sides given Circumradius [d₂]

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Diagonal of Decagon across Two Sides given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))
d₂ = sqrt(10+(2*sqrt(5)))/2*(2*r_c)/(1+sqrt(5))
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

Diagonal across Two Sides of Decagon - (Measured in Meter) - Diagonal across Two Sides of Decagon is a straight line joining two non-adjacent sides which is across two sides of the Decagon.
Circumradius of Decagon - (Measured in Meter) - Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Decagon: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = sqrt(10+(2*sqrt(5)))/2*(2*r_c)/(1+sqrt(5)) --> sqrt(10+(2*sqrt(5)))/2*(2*16)/(1+sqrt(5))

Evaluating ... ...

d₂ = 18.8091280733591

STEP 3: Convert Result to Output's Unit

18.8091280733591 Meter --> No Conversion Required

FINAL ANSWER

18.8091280733591 ≈ 18.80913 Meter <-- Diagonal across Two Sides of Decagon

(Calculation completed in 00.020 seconds)

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< Diagonal of Decagon across Two Sides Calculators

Diagonal of Decagon across Two Sides given Diagonal across Three Sides

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

Diagonal of Decagon across Two Sides given Diagonal across Four Sides

LaTeX Go Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

Diagonal of Decagon across Two Sides given Diagonal across Five Sides

LaTeX Go Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))

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 Two Sides given Circumradius Formula

LaTeX Go

Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))
d₂ = sqrt(10+(2*sqrt(5)))/2*(2*r_c)/(1+sqrt(5))

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 Two Sides given Circumradius?

Diagonal of Decagon across Two Sides given Circumradius calculator uses Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5)) to calculate the Diagonal across Two Sides of Decagon, The Diagonal of Decagon across Two Sides given Circumradius formula is defined as the straight line joining two non-adjacent vertices across the two sides of the Decagon, calculated using the circumradius. Diagonal across Two Sides of Decagon is denoted by d₂ symbol.

How to calculate Diagonal of Decagon across Two Sides given Circumradius using this online calculator? To use this online calculator for Diagonal of Decagon across Two Sides given Circumradius, enter Circumradius of Decagon (r_c) and hit the calculate button. Here is how the Diagonal of Decagon across Two Sides given Circumradius calculation can be explained with given input values -> 18.80913 = sqrt(10+(2*sqrt(5)))/2*(2*16)/(1+sqrt(5)).

FAQ

What is Diagonal of Decagon across Two Sides given Circumradius?

The Diagonal of Decagon across Two Sides given Circumradius formula is defined as the straight line joining two non-adjacent vertices across the two sides of the Decagon, calculated using the circumradius and is represented as d₂ = sqrt(10+(2*sqrt(5)))/2*(2*r_c)/(1+sqrt(5)) or Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5)). Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

How to calculate Diagonal of Decagon across Two Sides given Circumradius?

The Diagonal of Decagon across Two Sides given Circumradius formula is defined as the straight line joining two non-adjacent vertices across the two sides of the Decagon, calculated using the circumradius is calculated using Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5)). To calculate Diagonal of Decagon across Two Sides given Circumradius, you need Circumradius of Decagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Two Sides of Decagon?

In this formula, Diagonal across Two Sides of Decagon uses Circumradius of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*Side of Decagon
Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal across Two Sides of Decagon = sqrt(10+(2*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

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