Area 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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✖Area of Decagon is the amount of 2-dimensional space occupied by the Decagon.ⓘ Area of Decagon given Diagonal across Five Sides [A]

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Area of Decagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

A = 5/2*sqrt(5+(2*sqrt(5)))*(d₅/(1+sqrt(5)))^2 --> 5/2*sqrt(5+(2*sqrt(5)))*(32/(1+sqrt(5)))^2

Evaluating ... ...

A = 752.365122934366

STEP 3: Convert Result to Output's Unit

752.365122934366 Square Meter --> No Conversion Required

FINAL ANSWER

752.365122934366 ≈ 752.3651 Square Meter <-- Area of Decagon

(Calculation completed in 00.022 seconds)

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< Area of Decagon Calculators

Area of Decagon given Diagonal across Three Sides

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

Area of Decagon given Diagonal across Five Sides

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

Area of Decagon given Diagonal across Four Sides

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

Area of Decagon

LaTeX Go Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2

Area of Decagon given Diagonal across Five Sides Formula

LaTeX Go

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

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 Area of Decagon given Diagonal across Five Sides?

Area of Decagon given Diagonal across Five Sides calculator uses Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2 to calculate the Area of Decagon, The Area of Decagon given Diagonal across Five Sides formula is defined as the measure of the total 2d space that the surface of the object occupies of a Decagon, calculated using a diagonal across five sides. Area of Decagon is denoted by A symbol.

How to calculate Area of Decagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Area of Decagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Decagon (d₅) and hit the calculate button. Here is how the Area of Decagon given Diagonal across Five Sides calculation can be explained with given input values -> 752.3651 = 5/2*sqrt(5+(2*sqrt(5)))*(32/(1+sqrt(5)))^2.

FAQ

What is Area of Decagon given Diagonal across Five Sides?

The Area of Decagon given Diagonal across Five Sides formula is defined as the measure of the total 2d space that the surface of the object occupies of a Decagon, calculated using a diagonal across five sides and is represented as A = 5/2*sqrt(5+(2*sqrt(5)))*(d₅/(1+sqrt(5)))^2 or Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2. 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 Area of Decagon given Diagonal across Five Sides?

The Area of Decagon given Diagonal across Five Sides formula is defined as the measure of the total 2d space that the surface of the object occupies of a Decagon, calculated using a diagonal across five sides is calculated using Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2. To calculate Area 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 Area of Decagon?

In this formula, Area 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 -

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

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