Width 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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✖Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon.ⓘ Width of Hendecagon given Height [W]

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Width of Hendecagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)
W = 2*tan(pi/22)*h*sin((5*pi)/11)/sin(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

Width of hendecagon - (Measured in Meter) - Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of 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

W = 2*tan(pi/22)*h*sin((5*pi)/11)/sin(pi/11) --> 2*tan(pi/22)*17*sin((5*pi)/11)/sin(pi/11)

Evaluating ... ...

W = 17.1748148511466

STEP 3: Convert Result to Output's Unit

17.1748148511466 Meter --> No Conversion Required

FINAL ANSWER

17.1748148511466 ≈ 17.17481 Meter <-- Width of hendecagon

(Calculation completed in 00.468 seconds)

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< Width of Hendecagon Calculators

Width of Hendecagon given Area

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

Width of Hendecagon given Diagonal across Two Sides

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

Width of Hendecagon given Perimeter

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

Width of Hendecagon

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

Width of Hendecagon given Height Formula

LaTeX Go

Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11)
W = 2*tan(pi/22)*h*sin((5*pi)/11)/sin(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 Width of Hendecagon given Height?

Width of Hendecagon given Height calculator uses Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11) to calculate the Width of hendecagon, The Width of Hendecagon given Height formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using height. Width of hendecagon is denoted by W symbol.

How to calculate Width of Hendecagon given Height using this online calculator? To use this online calculator for Width of Hendecagon given Height, enter Height of Hendecagon (h) and hit the calculate button. Here is how the Width of Hendecagon given Height calculation can be explained with given input values -> 17.17481 = 2*tan(pi/22)*17*sin((5*pi)/11)/sin(pi/11).

FAQ

What is Width of Hendecagon given Height?

The Width of Hendecagon given Height formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using height and is represented as W = 2*tan(pi/22)*h*sin((5*pi)/11)/sin(pi/11) or Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11). Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Width of Hendecagon given Height?

The Width of Hendecagon given Height formula is defined as the horizontal distance from the left most edge to the right most edge of the Hendecagon calculated using height is calculated using Width of hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((5*pi)/11)/sin(pi/11). To calculate Width 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 Width of hendecagon?

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

Width of hendecagon = (Perimeter of Hendecagon/11)*sin((5*pi)/11)/sin(pi/11)
Width of hendecagon = 2*sqrt(Area of Hendecagon*tan(pi/11)/11)*sin((5*pi)/11)/sin(pi/11)
Width of hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

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