Side of Decagon given Height Calculator

✖Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Decagon [h]

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

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Side of Decagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5)))
S = h/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.
Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Decagon: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = h/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 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

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 Height Formula

LaTeX Go

Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5)))
S = h/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 Height?

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

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

FAQ

What is Side of Decagon given Height?

The Side of Decagon given Height formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the height and is represented as S = h/sqrt(5+(2*sqrt(5))) or Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5))). Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Side of Decagon given Height?

The Side of Decagon given Height formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the height is calculated using Side of Decagon = Height of Decagon/sqrt(5+(2*sqrt(5))). To calculate Side of Decagon given Height, you need Height of Decagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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