Height of Hendecagon given Diagonal across Five Sides Calculator

✖Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.ⓘ Diagonal across Five Sides of Hendecagon [d₅]

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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 Diagonal across Five Sides [h]

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Height of Hendecagon given Diagonal across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22))
h = (((d₅*sin(pi/11))/sin((5*pi)/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

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

Height of Hendecagon - (Measured in Meter) - Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Diagonal across Five Sides of Hendecagon - (Measured in Meter) - Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Hendecagon: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (((d₅*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22)) --> (((18*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22))

Evaluating ... ...

h = 17.8167859538568

STEP 3: Convert Result to Output's Unit

17.8167859538568 Meter --> No Conversion Required

FINAL ANSWER

17.8167859538568 ≈ 17.81679 Meter <-- Height of Hendecagon

(Calculation completed in 00.020 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))

Height of Hendecagon given Diagonal across Five Sides Formula

LaTeX Go

Height of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22))
h = (((d₅*sin(pi/11))/sin((5*pi)/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 Diagonal across Five Sides?

Height of Hendecagon given Diagonal across Five Sides calculator uses Height of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22)) to calculate the Height of Hendecagon, The Height of Hendecagon given Diagonal across Five Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using diagonal across five sides. Height of Hendecagon is denoted by h symbol.

How to calculate Height of Hendecagon given Diagonal across Five Sides using this online calculator? To use this online calculator for Height of Hendecagon given Diagonal across Five Sides, enter Diagonal across Five Sides of Hendecagon (d₅) and hit the calculate button. Here is how the Height of Hendecagon given Diagonal across Five Sides calculation can be explained with given input values -> 17.81679 = (((18*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22)).

FAQ

What is Height of Hendecagon given Diagonal across Five Sides?

The Height of Hendecagon given Diagonal across Five Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using diagonal across five sides and is represented as h = (((d₅*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22)) or Height of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22)). Diagonal across Five Sides of Hendecagon is a straight line joining two non-adjacent sides across five sides of the Hendecagon.

How to calculate Height of Hendecagon given Diagonal across Five Sides?

The Height of Hendecagon given Diagonal across Five Sides formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using diagonal across five sides is calculated using Height of Hendecagon = (((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11)))/(2*tan(pi/22)). To calculate Height of Hendecagon given Diagonal across Five Sides, you need Diagonal across Five Sides of Hendecagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five 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 Height of Hendecagon?

In this formula, Height of Hendecagon uses Diagonal across Five Sides 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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