Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
A = 11*(h*tan(pi/22))^2/tan(pi/11)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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.
Height of Hendecagon - (Measured in Meter) - Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Hendecagon: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 11*(h*tan(pi/22))^2/tan(pi/11) --> 11*(17*tan(pi/22))^2/tan(pi/11)

Evaluating ... ...

A = 223.811265206999

STEP 3: Convert Result to Output's Unit

223.811265206999 Square Meter --> No Conversion Required

FINAL ANSWER

223.811265206999 ≈ 223.8113 Square Meter <-- Area of Hendecagon

(Calculation completed in 00.020 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)

< 25 Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Two Sides given Inradius

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

Inradius of Hendecagon given Width

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

Circumradius of Hendecagon given Area

Go Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))

Diagonal of Hendecagon across Five Sides given Diagonal across Two Sides

Go Diagonal across Five Sides of Hendecagon = Diagonal across Two Sides of Hendecagon*(sin((5*pi)/11))/sin((2*pi)/11)

Inradius of Hendecagon given Area

Go Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))

Height of Hendecagon given Area

Go Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22))

Diagonal of Hendecagon across Four Sides given Width

Go Diagonal across Four Sides of Hendecagon = Width of hendecagon*sin((4*pi)/11)/(sin((5*pi)/11))

Diagonal of Hendecagon across Three Sides

Go Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Five Sides

Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Four Sides

Go Diagonal across Four Sides of Hendecagon = (Side of Hendecagon*sin((4*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Two Sides

Go Diagonal across Two Sides of Hendecagon = (Side of Hendecagon*sin((2*pi)/11))/sin(pi/11)

Perimeter of Hendecagon given Width

Go Perimeter of Hendecagon = 11*Width of hendecagon*(sin((pi)/11)/sin((5*pi)/11))

Circumradius of Hendecagon given Inradius

Go Circumradius of Hendecagon = (tan(pi/11)*Inradius of Hendecagon)/sin(pi/11)

Area of Hendecagon given Height

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

Perimeter of Hendecagon given Area

Go Perimeter of Hendecagon = 11*sqrt((4*Area of Hendecagon*tan(pi/11))/11)

Side of Hendecagon

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

Circumradius of Hendecagon given Diagonal across Four Sides

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

Diagonal of Hendecagon across Three Sides given Circumradius

Go Diagonal across Three Sides of Hendecagon = 2*Circumradius of Hendecagon*sin((3*pi)/11)

Circumradius of Hendecagon given Diagonal across Two Sides

Go Circumradius of Hendecagon = Diagonal across Two Sides of Hendecagon/(2*sin((2*pi)/11))

Circumradius of Hendecagon

Go Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11))

Area of Hendecagon given Perimeter

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

Inradius of Hendecagon

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

Area of Hendecagon

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

Height of Hendecagon

Go Height of Hendecagon = Side of Hendecagon/(2*tan(pi/22))

Perimeter of Hendecagon

Go Perimeter of Hendecagon = 11*Side of Hendecagon

Area of Hendecagon given Height Formula

Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)
A = 11*(h*tan(pi/22))^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 Height?

Area of Hendecagon given Height calculator uses Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11) to calculate the Area of Hendecagon, Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height. Area of Hendecagon is denoted by A symbol.

How to calculate Area of Hendecagon given Height using this online calculator? To use this online calculator for Area of Hendecagon given Height, enter Height of Hendecagon (h) and hit the calculate button. Here is how the Area of Hendecagon given Height calculation can be explained with given input values -> 223.8113 = 11*(17*tan(pi/22))^2/tan(pi/11).

FAQ

What is Area of Hendecagon given Height?

Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height and is represented as A = 11*(h*tan(pi/22))^2/tan(pi/11) or Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11). Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Area of Hendecagon given Height?

Area of Hendecagon given Height formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using height is calculated using Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11). To calculate Area of Hendecagon given Height, you need Height of Hendecagon (h). With our tool, you need to enter the respective value for Height 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 Height of Hendecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -

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 = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)
Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*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)
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 = 11/4*Side of Hendecagon^2/tan(pi/11)
Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))

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