Side of Hendecagon given Height Calculator

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

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✖Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.ⓘ Side of Hendecagon given Height [S]

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Side of Hendecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Side of Hendecagon - (Measured in Meter) - Side of Hendecagon is the length of the line segment joining two adjacent vertices of 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

S = 2*h*tan(pi/22) --> 2*17*tan(pi/22)

Evaluating ... ...

S = 4.88846199582909

STEP 3: Convert Result to Output's Unit

4.88846199582909 Meter --> No Conversion Required

FINAL ANSWER

4.88846199582909 ≈ 4.888462 Meter <-- Side of Hendecagon

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Side of Hendecagon Calculators

Side of Hendecagon given Diagonal across Three Sides

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

Side of Hendecagon given Diagonal across Two Sides

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

Side of Hendecagon

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

Side of Hendecagon given Circumradius

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

< 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)

Side of Hendecagon given Height Formula

LaTeX Go

Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22)
S = 2*h*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 Side of Hendecagon given Height?

Side of Hendecagon given Height calculator uses Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22) to calculate the Side of Hendecagon, Side of Hendecagon given Height formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using height. Side of Hendecagon is denoted by S symbol.

How to calculate Side of Hendecagon given Height using this online calculator? To use this online calculator for Side of Hendecagon given Height, enter Height of Hendecagon (h) and hit the calculate button. Here is how the Side of Hendecagon given Height calculation can be explained with given input values -> 4.888462 = 2*17*tan(pi/22).

FAQ

What is Side of Hendecagon given Height?

Side of Hendecagon given Height formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using height and is represented as S = 2*h*tan(pi/22) or Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22). Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Side of Hendecagon given Height?

Side of Hendecagon given Height formula is defined as the straight line connecting two adjacent vertices of Hendecagon, calculated using height is calculated using Side of Hendecagon = 2*Height of Hendecagon*tan(pi/22). To calculate Side 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 Side of Hendecagon?

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

Side of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)
Side of Hendecagon = 2*Circumradius of Hendecagon*sin(pi/11)
Side of Hendecagon = (Diagonal across Two Sides of Hendecagon*sin(pi/11))/sin((2*pi)/11)

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