Side of Decagon given Diagonal across Four Sides Calculator

✖Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.ⓘ Diagonal across Four Sides of Decagon [d₄]

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✖Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.ⓘ Side of Decagon given Diagonal across Four Sides [S]

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Side of Decagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
S = d₄/sqrt(5+(2*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

Side of Decagon - (Measured in Meter) - Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Four Sides of Decagon: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = d₄/sqrt(5+(2*sqrt(5))) --> 31/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

S = 10.0725105832201

STEP 3: Convert Result to Output's Unit

10.0725105832201 Meter --> No Conversion Required

FINAL ANSWER

10.0725105832201 ≈ 10.07251 Meter <-- Side of Decagon

(Calculation completed in 00.020 seconds)

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< Side of Decagon Calculators

Side of Decagon given Diagonal across Three Sides

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

Side of Decagon given Diagonal across Four Sides

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

Side of Decagon given Width

LaTeX Go Side of Decagon = Width of Decagon*sin(pi/10)

Side of Decagon given Diagonal across Five Sides

LaTeX Go Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))

Side of Decagon given Diagonal across Four Sides Formula

LaTeX Go

Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
S = d₄/sqrt(5+(2*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 Side of Decagon given Diagonal across Four Sides?

Side of Decagon given Diagonal across Four Sides calculator uses Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))) to calculate the Side of Decagon, The Side of Decagon given Diagonal across Four Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across four sides. Side of Decagon is denoted by S symbol.

How to calculate Side of Decagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Side of Decagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button. Here is how the Side of Decagon given Diagonal across Four Sides calculation can be explained with given input values -> 10.07251 = 31/sqrt(5+(2*sqrt(5))).

FAQ

What is Side of Decagon given Diagonal across Four Sides?

The Side of Decagon given Diagonal across Four Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across four sides and is represented as S = d₄/sqrt(5+(2*sqrt(5))) or Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

How to calculate Side of Decagon given Diagonal across Four Sides?

The Side of Decagon given Diagonal across Four Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across four sides is calculated using Side of Decagon = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). To calculate Side of Decagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Decagon (d₄). With our tool, you need to enter the respective value for Diagonal across Four Sides 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 Side of Decagon?

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

Side of Decagon = Width of Decagon*sin(pi/10)
Side of Decagon = Diagonal across Five Sides of Decagon/(1+sqrt(5))
Side of Decagon = (2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

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