Perimeter of Decagon given Diagonal across Five Sides Calculator

✖Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.ⓘ Diagonal across Five Sides of Decagon [d₅]

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

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Perimeter of Decagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5))
P = 10*d₅/(1+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 Five Sides of Decagon - (Measured in Meter) - Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Decagon: 32 Meter --> 32 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 10*d₅/(1+sqrt(5)) --> 10*32/(1+sqrt(5))

Evaluating ... ...

P = 98.8854381999832

STEP 3: Convert Result to Output's Unit

98.8854381999832 Meter --> No Conversion Required

FINAL ANSWER

98.8854381999832 ≈ 98.88544 Meter <-- Perimeter of Decagon

(Calculation completed in 00.020 seconds)

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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 Diagonal across Five Sides Formula

LaTeX Go

Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5))
P = 10*d₅/(1+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 Five Sides?

Perimeter of Decagon given Diagonal across Five Sides calculator uses Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5)) to calculate the Perimeter of Decagon, The Perimeter of Decagon given Diagonal across Five Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across five sides. Perimeter of Decagon is denoted by P symbol.

How to calculate Perimeter of Decagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Perimeter of Decagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Decagon (d₅) and hit the calculate button. Here is how the Perimeter of Decagon given Diagonal across Five Sides calculation can be explained with given input values -> 98.88544 = 10*32/(1+sqrt(5)).

FAQ

What is Perimeter of Decagon given Diagonal across Five Sides?

The Perimeter of Decagon given Diagonal across Five Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across five sides and is represented as P = 10*d₅/(1+sqrt(5)) or Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5)). Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.

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

The Perimeter of Decagon given Diagonal across Five Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across five sides is calculated using Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5)). To calculate Perimeter of Decagon given Diagonal across Five Sides, you need Diagonal across Five Sides of Decagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five 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 Five Sides 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 Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

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