Height of Hendecagon given Area Calculator

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

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✖Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Hendecagon given Area [h]

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Height of Hendecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22))
h = sqrt(A*(4*tan(pi/11))/11)/(2*tan(pi/22))
This formula uses 1 Constants, 2 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)
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

Height of Hendecagon - (Measured in Meter) - Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Area of Hendecagon - (Measured in Square Meter) - Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hendecagon: 235 Square Meter --> 235 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(A*(4*tan(pi/11))/11)/(2*tan(pi/22)) --> sqrt(235*(4*tan(pi/11))/11)/(2*tan(pi/22))

Evaluating ... ...

h = 17.4197485332389

STEP 3: Convert Result to Output's Unit

17.4197485332389 Meter --> No Conversion Required

FINAL ANSWER

17.4197485332389 ≈ 17.41975 Meter <-- Height of Hendecagon

(Calculation completed in 00.004 seconds)

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< Height of Hendecagon Calculators

Height of Hendecagon given Circumradius

LaTeX Go Height of Hendecagon = (Circumradius of Hendecagon*sin(pi/11))/(tan(pi/22))

Height of Hendecagon given Inradius

LaTeX Go Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22)

Height of Hendecagon given Perimeter

LaTeX Go Height of Hendecagon = Perimeter of Hendecagon/(22*tan(pi/22))

Height of Hendecagon

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

< Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Five Sides

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

Area of Hendecagon given Height

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

Area of Hendecagon given Perimeter

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

Area of Hendecagon

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

Height of Hendecagon given Area Formula

LaTeX Go

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

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 Height of Hendecagon given Area?

Height of Hendecagon given Area calculator uses Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22)) to calculate the Height of Hendecagon, Height of Hendecagon given Area formula is defined as the perpendicular line drawn from one vertex to its opposite side of the Hendecagon, calculated using the area. Height of Hendecagon is denoted by h symbol.

How to calculate Height of Hendecagon given Area using this online calculator? To use this online calculator for Height of Hendecagon given Area, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Height of Hendecagon given Area calculation can be explained with given input values -> 17.41975 = sqrt(235*(4*tan(pi/11))/11)/(2*tan(pi/22)).

FAQ

What is Height of Hendecagon given Area?

Height of Hendecagon given Area formula is defined as the perpendicular line drawn from one vertex to its opposite side of the Hendecagon, calculated using the area and is represented as h = sqrt(A*(4*tan(pi/11))/11)/(2*tan(pi/22)) or Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22)). Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

How to calculate Height of Hendecagon given Area?

Height of Hendecagon given Area formula is defined as the perpendicular line drawn from one vertex to its opposite side of the Hendecagon, calculated using the area is calculated using Height of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/22)). To calculate Height of Hendecagon given Area, you need Area of Hendecagon (A). With our tool, you need to enter the respective value for Area 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 Height of Hendecagon?

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

Height of Hendecagon = (Circumradius of Hendecagon*sin(pi/11))/(tan(pi/22))
Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22)
Height of Hendecagon = Perimeter of Hendecagon/(22*tan(pi/22))

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