Diagonal of Decagon across Five Sides given Area Calculator

✖Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.ⓘ Area of Decagon [A]

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

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Diagonal of Decagon across Five Sides given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
d₅ = (1+sqrt(5))*sqrt((2*A)/(5*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

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.
Area of Decagon - (Measured in Square Meter) - Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.

STEP 1: Convert Input(s) to Base Unit

Area of Decagon: 770 Square Meter --> 770 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₅ = (1+sqrt(5))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) --> (1+sqrt(5))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5)))))

Evaluating ... ...

d₅ = 32.3728558500747

STEP 3: Convert Result to Output's Unit

32.3728558500747 Meter --> No Conversion Required

FINAL ANSWER

32.3728558500747 ≈ 32.37286 Meter <-- Diagonal across Five Sides of Decagon

(Calculation completed in 00.004 seconds)

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< Diagonal of Decagon across Five Sides Calculators

Diagonal of Decagon across Five Sides given Diagonal across Three Sides

LaTeX Go Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

Diagonal of Decagon across Five Sides given Diagonal across Two Sides

LaTeX Go Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))

Diagonal of Decagon across Five Sides given Diagonal across Four Sides

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

Diagonal of Decagon across Five Sides

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

Diagonal of Decagon across Five Sides given Area Formula

LaTeX Go

Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
d₅ = (1+sqrt(5))*sqrt((2*A)/(5*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 Diagonal of Decagon across Five Sides given Area?

Diagonal of Decagon across Five Sides given Area calculator uses Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to calculate the Diagonal across Five Sides of Decagon, The Diagonal of Decagon across Five Sides given Area formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the area. Diagonal across Five Sides of Decagon is denoted by d₅ symbol.

How to calculate Diagonal of Decagon across Five Sides given Area using this online calculator? To use this online calculator for Diagonal of Decagon across Five Sides given Area, enter Area of Decagon (A) and hit the calculate button. Here is how the Diagonal of Decagon across Five Sides given Area calculation can be explained with given input values -> 32.37286 = (1+sqrt(5))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

FAQ

What is Diagonal of Decagon across Five Sides given Area?

The Diagonal of Decagon across Five Sides given Area formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the area and is represented as d₅ = (1+sqrt(5))*sqrt((2*A)/(5*sqrt(5+(2*sqrt(5))))) or Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.

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

The Diagonal of Decagon across Five Sides given Area formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the area is calculated using Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). To calculate Diagonal of Decagon across Five Sides given Area, you need Area of Decagon (A). With our tool, you need to enter the respective value for Area 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 Diagonal across Five Sides of Decagon?

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

Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon
Diagonal across Five Sides of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

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