Side of Decagon given Diagonal across Two Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
S = (2*d2)/sqrt(10+(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 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.
STEP 1: Convert Input(s) to Base Unit
Diagonal across Two Sides of Decagon: 19 Meter --> 19 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (2*d2)/sqrt(10+(2*sqrt(5))) --> (2*19)/sqrt(10+(2*sqrt(5)))
Evaluating ... ...
S = 9.98889113026354
STEP 3: Convert Result to Output's Unit
9.98889113026354 Meter --> No Conversion Required
FINAL ANSWER
9.98889113026354 9.988891 Meter <-- Side of Decagon
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Walchand College of Engineering (WCE), Sangli
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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 Two Sides Formula

​LaTeX ​Go
Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
S = (2*d2)/sqrt(10+(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 Two Sides?

Side of Decagon given Diagonal across Two Sides calculator uses Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))) to calculate the Side of Decagon, The Side of Decagon given Diagonal across Two Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across two sides. Side of Decagon is denoted by S symbol.

How to calculate Side of Decagon given Diagonal across Two Sides using this online calculator? To use this online calculator for Side of Decagon given Diagonal across Two Sides, enter Diagonal across Two Sides of Decagon (d2) and hit the calculate button. Here is how the Side of Decagon given Diagonal across Two Sides calculation can be explained with given input values -> 9.988891 = (2*19)/sqrt(10+(2*sqrt(5))).

FAQ

What is Side of Decagon given Diagonal across Two Sides?
The Side of Decagon given Diagonal across Two Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across two sides and is represented as S = (2*d2)/sqrt(10+(2*sqrt(5))) or Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))). Diagonal across Two Sides of Decagon is a straight line joining two non-adjacent sides which is across two sides of the Decagon.
How to calculate Side of Decagon given Diagonal across Two Sides?
The Side of Decagon given Diagonal across Two Sides formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the diagonal across two sides is calculated using Side of Decagon = (2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5))). To calculate Side of Decagon given Diagonal across Two Sides, you need Diagonal across Two Sides of Decagon (d2). With our tool, you need to enter the respective value for Diagonal across Two 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 Two 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 = Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
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