Inradius of Decagon given Perimeter 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 given Perimeter [r_i]

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Formula

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Inradius of Decagon given Perimeter

Formula

`"r"_{"i"} = sqrt(5+(2*sqrt(5)))/2*"P"/10`

Example

`"15.38842m"=sqrt(5+(2*sqrt(5)))/2*"100m"/10`

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Inradius of Decagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Perimeter of Decagon: 100 Meter --> 100 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(5+(2*sqrt(5)))/2*P/10 --> sqrt(5+(2*sqrt(5)))/2*100/10

Evaluating ... ...

r_i = 15.3884176858763

STEP 3: Convert Result to Output's Unit

15.3884176858763 Meter --> No Conversion Required

FINAL ANSWER

15.3884176858763 ≈ 15.38842 Meter <-- Inradius 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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< 10+ Inradius of Decagon Calculators

Inradius of Decagon given Area

Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Inradius of Decagon given Diagonal across Three Sides

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

Inradius of Decagon given Diagonal across Two Sides

Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))

Inradius of Decagon given Diagonal across Five Sides

Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))

Inradius of Decagon given Circumradius

Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))

Inradius of Decagon given Width

Go Inradius of Decagon = ((Width of Decagon*sqrt(5+(2*sqrt(5))))/(1+sqrt(5)))/2

Inradius of Decagon given Perimeter

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

Inradius of Decagon

Go Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon

Inradius of Decagon given Diagonal across Four Sides

Go Inradius of Decagon = Diagonal across Four Sides of Decagon/2

Inradius of Decagon given Height

Go Inradius of Decagon = Height of Decagon/2

Inradius of Decagon given Perimeter Formula

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

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 Inradius of Decagon given Perimeter?

Inradius of Decagon given Perimeter calculator uses Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Perimeter of Decagon/10 to calculate the Inradius of Decagon, The Inradius of Decagon given Perimeter formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using the perimeter. Inradius of Decagon is denoted by r_i symbol.

How to calculate Inradius of Decagon given Perimeter using this online calculator? To use this online calculator for Inradius of Decagon given Perimeter, enter Perimeter of Decagon (P) and hit the calculate button. Here is how the Inradius of Decagon given Perimeter calculation can be explained with given input values -> 15.38842 = sqrt(5+(2*sqrt(5)))/2*100/10.

FAQ

What is Inradius of Decagon given Perimeter?

The Inradius of Decagon given Perimeter formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using the perimeter and is represented as r_i = sqrt(5+(2*sqrt(5)))/2*P/10 or Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Perimeter of Decagon/10. Perimeter of Decagon is the total distance around the edge of the Decagon.

How to calculate Inradius of Decagon given Perimeter?

The Inradius of Decagon given Perimeter formula is defined as the length of the straight line from the center to any point on the incircle of the Decagon, calculated using the perimeter is calculated using Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Perimeter of Decagon/10. To calculate Inradius of Decagon given Perimeter, you need Perimeter of Decagon (P). With our tool, you need to enter the respective value for Perimeter 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 Inradius of Decagon?

In this formula, Inradius of Decagon uses Perimeter of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Side of Decagon
Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Inradius of Decagon = Diagonal across Four Sides of Decagon/2
Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Inradius of Decagon = sqrt(5+(2*sqrt(5)))/2*(2*Circumradius of Decagon)/(1+sqrt(5))
Inradius of Decagon = ((Width of Decagon*sqrt(5+(2*sqrt(5))))/(1+sqrt(5)))/2
Inradius of Decagon = Height of Decagon/2

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