Width of Decagon given Diagonal across Four Sides Calculator

✖Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.ⓘ Diagonal across Four Sides of Decagon [d₄]

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✖Width of Decagon is the measurement or extent of Decagon from side to side.ⓘ Width of Decagon given Diagonal across Four Sides [w]

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Width of Decagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
w = (1+sqrt(5))*d₄/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

Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.
Diagonal across Four Sides of Decagon - (Measured in Meter) - Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Four Sides of Decagon: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (1+sqrt(5))*d₄/sqrt(5+(2*sqrt(5))) --> (1+sqrt(5))*31/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

w = 32.5953289513863

STEP 3: Convert Result to Output's Unit

32.5953289513863 Meter --> No Conversion Required

FINAL ANSWER

32.5953289513863 ≈ 32.59533 Meter <-- Width of Decagon

(Calculation completed in 00.004 seconds)

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< Width of Decagon Calculators

Width of Decagon given Area

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

Width of Decagon given Inradius

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

Width of Decagon

LaTeX Go Width of Decagon = Side of Decagon/sin(pi/10)

Width of Decagon given Circumradius

LaTeX Go Width of Decagon = 2*Circumradius of Decagon

Width of Decagon given Diagonal across Four Sides Formula

LaTeX Go

Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
w = (1+sqrt(5))*d₄/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 Width of Decagon given Diagonal across Four Sides?

Width of Decagon given Diagonal across Four Sides calculator uses Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))) to calculate the Width of Decagon, The Width of Decagon given Diagonal across Four Sides formula is defined as the measurement or extent of the Decagon from side to side, calculated using the diagonal across four sides. Width of Decagon is denoted by w symbol.

How to calculate Width of Decagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Width of Decagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button. Here is how the Width of Decagon given Diagonal across Four Sides calculation can be explained with given input values -> 32.59533 = (1+sqrt(5))*31/sqrt(5+(2*sqrt(5))).

FAQ

What is Width of Decagon given Diagonal across Four Sides?

The Width of Decagon given Diagonal across Four Sides formula is defined as the measurement or extent of the Decagon from side to side, calculated using the diagonal across four sides and is represented as w = (1+sqrt(5))*d₄/sqrt(5+(2*sqrt(5))) or Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

How to calculate Width of Decagon given Diagonal across Four Sides?

The Width of Decagon given Diagonal across Four Sides formula is defined as the measurement or extent of the Decagon from side to side, calculated using the diagonal across four sides is calculated using Width of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). To calculate Width of Decagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Decagon (d₄). With our tool, you need to enter the respective value for Diagonal across Four 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 Width of Decagon?

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

Width of Decagon = 2*Circumradius of Decagon
Width of Decagon = Side of Decagon/sin(pi/10)
Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

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