Side of Decagon given Inradius Calculator

✖Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.ⓘ Inradius of Decagon [r_i]

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

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Side of Decagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Decagon = (2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
S = (2*r_i)/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.
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

S = (2*r_i)/sqrt(5+(2*sqrt(5))) --> (2*15)/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

S = 9.74759088698719

STEP 3: Convert Result to Output's Unit

9.74759088698719 Meter --> No Conversion Required

FINAL ANSWER

9.74759088698719 ≈ 9.747591 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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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 Inradius Formula

LaTeX Go

Side of Decagon = (2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
S = (2*r_i)/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 Inradius?

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

How to calculate Side of Decagon given Inradius using this online calculator? To use this online calculator for Side of Decagon given Inradius, enter Inradius of Decagon (r_i) and hit the calculate button. Here is how the Side of Decagon given Inradius calculation can be explained with given input values -> 9.747591 = (2*15)/sqrt(5+(2*sqrt(5))).

FAQ

What is Side of Decagon given Inradius?

The Side of Decagon given Inradius formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the inradius and is represented as S = (2*r_i)/sqrt(5+(2*sqrt(5))) or Side of Decagon = (2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). 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 Side of Decagon given Inradius?

The Side of Decagon given Inradius formula is defined as a line connecting two adjacent vertices of the Decagon, calculated using the inradius is calculated using Side of Decagon = (2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). To calculate Side of Decagon given Inradius, you need Inradius of Decagon (r_i). 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 Side of Decagon?

In this formula, Side of Decagon uses Inradius 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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