Area of Hendecagon given Diagonal across Four Sides Calculator

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

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

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Formula

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Area of Hendecagon given Diagonal across Four Sides

Formula

`"A" = 11/4*(("d"_{"4"}*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)`

Example

`"229.9959m²"=11/4*(("16m"*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)`

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Area of Hendecagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)
A = 11/4*((d₄*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Area of Hendecagon - (Measured in Square Meter) - Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.
Diagonal across Four Sides of Hendecagon - (Measured in Meter) - Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Four Sides of Hendecagon: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 11/4*((d₄*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11) --> 11/4*((16*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)

Evaluating ... ...

A = 229.995870759071

STEP 3: Convert Result to Output's Unit

229.995870759071 Square Meter --> No Conversion Required

FINAL ANSWER

229.995870759071 ≈ 229.9959 Square Meter <-- Area of Hendecagon

(Calculation completed in 00.021 seconds)

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< 10+ Area of Hendecagon Calculators

Area of Hendecagon given Diagonal across Three Sides

Go Area of Hendecagon = 11/4*((Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Diagonal across Five Sides

Go Area of Hendecagon = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Diagonal across Four Sides

Go Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Diagonal across Two Sides

Go Area of Hendecagon = 11/4*((Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Width

Go Area of Hendecagon = 11/4*((Width of hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Circumradius

Go Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))

Area of Hendecagon given Height

Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)

Area of Hendecagon given Perimeter

Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))

Area of Hendecagon given Inradius

Go Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2

Area of Hendecagon

Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Area of Hendecagon given Diagonal across Four Sides Formula

Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)
A = 11/4*((d₄*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)

What is Hendecagon?

A Hendecagon is an 11-sided polygon, also variously known as an undecagon or unidecagon. The term "hendecagon" is preferable to the other two since it uses the Greek prefix and suffix instead of mixing a Roman prefix and Greek suffix. A Hendecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular Hendecagon.

How to Calculate Area of Hendecagon given Diagonal across Four Sides?

Area of Hendecagon given Diagonal across Four Sides calculator uses Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11) to calculate the Area of Hendecagon, The Area of Hendecagon given Diagonal across Four Sides formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using diagonal across four sides. Area of Hendecagon is denoted by A symbol.

How to calculate Area of Hendecagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Area of Hendecagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Hendecagon (d₄) and hit the calculate button. Here is how the Area of Hendecagon given Diagonal across Four Sides calculation can be explained with given input values -> 229.9959 = 11/4*((16*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11).

FAQ

What is Area of Hendecagon given Diagonal across Four Sides?

The Area of Hendecagon given Diagonal across Four Sides formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using diagonal across four sides and is represented as A = 11/4*((d₄*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11) or Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11). Diagonal across Four Sides of Hendecagon is the straight line joining two non-adjacent sides across four sides of the Hendecagon.

How to calculate Area of Hendecagon given Diagonal across Four Sides?

The Area of Hendecagon given Diagonal across Four Sides formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using diagonal across four sides is calculated using Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11). To calculate Area of Hendecagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Hendecagon (d₄). With our tool, you need to enter the respective value for Diagonal across Four Sides of Hendecagon 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 Hendecagon?

In this formula, Area of Hendecagon uses Diagonal across Four Sides of Hendecagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)
Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))
Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))
Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2
Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
Area of Hendecagon = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)
Area of Hendecagon = 11/4*((Diagonal across Three Sides of Hendecagon*sin(pi/11))/sin((3*pi)/11))^2/tan(pi/11)
Area of Hendecagon = 11/4*((Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11))^2/tan(pi/11)
Area of Hendecagon = 11/4*((Width of hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

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