Perimeter 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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✖Perimeter of Decagon is the total distance around the edge of the Decagon.ⓘ Perimeter of Decagon given Inradius [P]

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Perimeter of Decagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
P = 10*(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

Perimeter of Decagon - (Measured in Meter) - Perimeter of Decagon is the total distance around the edge 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

P = 10*(2*r_i)/sqrt(5+(2*sqrt(5))) --> 10*(2*15)/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

P = 97.4759088698719

STEP 3: Convert Result to Output's Unit

97.4759088698719 Meter --> No Conversion Required

FINAL ANSWER

97.4759088698719 ≈ 97.47591 Meter <-- Perimeter of Decagon

(Calculation completed in 00.021 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< Perimeter of Decagon Calculators

Perimeter of Decagon given Diagonal across Three Sides

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

Perimeter of Decagon given Diagonal across Four Sides

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

Perimeter of Decagon given Diagonal across Five Sides

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

Perimeter of Decagon

LaTeX Go Perimeter of Decagon = 10*Side of Decagon

Perimeter of Decagon given Inradius Formula

LaTeX Go

Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
P = 10*(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 Perimeter of Decagon given Inradius?

Perimeter of Decagon given Inradius calculator uses Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))) to calculate the Perimeter of Decagon, The Perimeter of Decagon given Inradius formula is defined as the distance of a boundary around the Decagon, calculated using the inradius. Perimeter of Decagon is denoted by P symbol.

How to calculate Perimeter of Decagon given Inradius using this online calculator? To use this online calculator for Perimeter of Decagon given Inradius, enter Inradius of Decagon (r_i) and hit the calculate button. Here is how the Perimeter of Decagon given Inradius calculation can be explained with given input values -> 97.47591 = 10*(2*15)/sqrt(5+(2*sqrt(5))).

FAQ

What is Perimeter of Decagon given Inradius?

The Perimeter of Decagon given Inradius formula is defined as the distance of a boundary around the Decagon, calculated using the inradius and is represented as P = 10*(2*r_i)/sqrt(5+(2*sqrt(5))) or Perimeter of Decagon = 10*(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 Perimeter of Decagon given Inradius?

The Perimeter of Decagon given Inradius formula is defined as the distance of a boundary around the Decagon, calculated using the inradius is calculated using Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). To calculate Perimeter 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 Perimeter of Decagon?

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

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

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