Perimeter of Decagon given Diagonal across Three Sides Calculator

✖Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon.ⓘ Diagonal across Three Sides of Decagon [d₃]

+10%

-10%

✖Perimeter of Decagon is the total distance around the edge of the Decagon.ⓘ Perimeter of Decagon given Diagonal across Three Sides [P]

⎘ Copy

👎

Formula

✖

Perimeter of Decagon given Diagonal across Three Sides

Formula

`"P" = 10*(2*"d"_{"3"})/sqrt(14+(6*sqrt(5)))`

Example

`"99.31116m"=10*(2*"26m")/sqrt(14+(6*sqrt(5)))`

Calculator

LaTeX

Reset

👍

Download Decagon Formula PDF PDF Image

Perimeter of Decagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
P = 10*(2*d₃)/sqrt(14+(6*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.
Diagonal across Three Sides of Decagon - (Measured in Meter) - Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Three Sides of Decagon: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 10*(2*d₃)/sqrt(14+(6*sqrt(5))) --> 10*(2*26)/sqrt(14+(6*sqrt(5)))

Evaluating ... ...

P = 99.3111629250273

STEP 3: Convert Result to Output's Unit

99.3111629250273 Meter --> No Conversion Required

FINAL ANSWER

99.3111629250273 ≈ 99.31116 Meter <-- Perimeter of Decagon

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Decagon » Perimeter of Decagon » Perimeter of Decagon given Diagonal across Three Sides

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 10+ Perimeter of Decagon Calculators

Perimeter of Decagon given Area

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

Perimeter of Decagon given Diagonal across Three Sides

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

Perimeter of Decagon given Diagonal across Two Sides

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

Perimeter of Decagon given Diagonal across Four Sides

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

Perimeter of Decagon given Inradius

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

Perimeter of Decagon given Height

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

Perimeter of Decagon given Diagonal across Five Sides

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

Perimeter of Decagon given Circumradius

Go Perimeter of Decagon = 10*(2*Circumradius of Decagon)/(1+sqrt(5))

Perimeter of Decagon given Width

Go Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5))

Perimeter of Decagon

Go Perimeter of Decagon = 10*Side of Decagon

Perimeter of Decagon given Diagonal across Three Sides Formula

Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
P = 10*(2*d₃)/sqrt(14+(6*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 Diagonal across Three Sides?

Perimeter of Decagon given Diagonal across Three Sides calculator uses Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))) to calculate the Perimeter of Decagon, The Perimeter of Decagon given Diagonal across Three Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across three sides. Perimeter of Decagon is denoted by P symbol.

How to calculate Perimeter of Decagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Perimeter of Decagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Decagon (d₃) and hit the calculate button. Here is how the Perimeter of Decagon given Diagonal across Three Sides calculation can be explained with given input values -> 99.31116 = 10*(2*26)/sqrt(14+(6*sqrt(5))).

FAQ

What is Perimeter of Decagon given Diagonal across Three Sides?

The Perimeter of Decagon given Diagonal across Three Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across three sides and is represented as P = 10*(2*d₃)/sqrt(14+(6*sqrt(5))) or Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))). Diagonal across Three Sides of Decagon is a straight line joining two non-adjacent sides which is across three sides of the Decagon.

How to calculate Perimeter of Decagon given Diagonal across Three Sides?

The Perimeter of Decagon given Diagonal across Three Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across three sides is calculated using Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))). To calculate Perimeter of Decagon given Diagonal across Three Sides, you need Diagonal across Three Sides of Decagon (d₃). With our tool, you need to enter the respective value for Diagonal across Three 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 Perimeter of Decagon?

In this formula, Perimeter of Decagon uses Diagonal across Three Sides of Decagon. We can use 9 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)))
Perimeter of Decagon = 10*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Perimeter of Decagon = 10*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Perimeter of Decagon = 10*Height of Decagon/sqrt(5+(2*sqrt(5)))
Perimeter of Decagon = 10*(2*Circumradius of Decagon)/(1+sqrt(5))
Perimeter of Decagon = 10*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
Perimeter of Decagon = (10*Width of Decagon)/(1+sqrt(5))

Home

FREE PDFs

🔍 Search