Side of Nonagon given Height Calculator

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

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

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Side of Nonagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon
S = ((2*sin(pi/9))/(1+cos(pi/9)))*h
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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Side of Nonagon - (Measured in Meter) - The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.
Height of Nonagon - (Measured in Meter) - Height of Nonagon 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 Nonagon: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((2*sin(pi/9))/(1+cos(pi/9)))*h --> ((2*sin(pi/9))/(1+cos(pi/9)))*22

Evaluating ... ...

S = 7.75838715117246

STEP 3: Convert Result to Output's Unit

7.75838715117246 Meter --> No Conversion Required

FINAL ANSWER

7.75838715117246 ≈ 7.758387 Meter <-- Side of Nonagon

(Calculation completed in 00.015 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Side of Nonagon Calculators

Side of Nonagon given Diagonal across Four Sides

LaTeX Go Side of Nonagon = Diagonal across Four Sides of Nonagon*((sin(pi/9))/(sin(4*pi/9)))

Side of Nonagon given Area

LaTeX Go Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9)))

Side of Nonagon given Circumradius

LaTeX Go Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9)

Side of Nonagon given Inradius

LaTeX Go Side of Nonagon = 2*Inradius of Nonagon*tan(pi/9)

< Side of Nonagon Calculators

Side of Nonagon given Height

LaTeX Go Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon

Side of Nonagon given Area

LaTeX Go Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9)))

Side of Nonagon given Circumradius

LaTeX Go Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9)

Side of Nonagon given Height Formula

LaTeX Go

Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon
S = ((2*sin(pi/9))/(1+cos(pi/9)))*h

What is a Nonagon?

A Nonagon is a polygon with nine sides and nine angles. The term ‘nonagon’ is a hybrid of the Latin word ‘nonus’ meaning nine and the Greek word ‘gon’ meaning sides. It is also known as ‘enneagon’, derived from the Greek word ‘enneagonon’, also meaning nine.

How to Calculate Side of Nonagon given Height?

Side of Nonagon given Height calculator uses Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon to calculate the Side of Nonagon, Side of Nonagon given Height formula is defined as the length of the line segment connecting two adjacent vertices of Nonagon, calculated using height. Side of Nonagon is denoted by S symbol.

How to calculate Side of Nonagon given Height using this online calculator? To use this online calculator for Side of Nonagon given Height, enter Height of Nonagon (h) and hit the calculate button. Here is how the Side of Nonagon given Height calculation can be explained with given input values -> 7.758387 = ((2*sin(pi/9))/(1+cos(pi/9)))*22.

FAQ

What is Side of Nonagon given Height?

Side of Nonagon given Height formula is defined as the length of the line segment connecting two adjacent vertices of Nonagon, calculated using height and is represented as S = ((2*sin(pi/9))/(1+cos(pi/9)))*h or Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon. Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Side of Nonagon given Height?

Side of Nonagon given Height formula is defined as the length of the line segment connecting two adjacent vertices of Nonagon, calculated using height is calculated using Side of Nonagon = ((2*sin(pi/9))/(1+cos(pi/9)))*Height of Nonagon. To calculate Side of Nonagon given Height, you need Height of Nonagon (h). With our tool, you need to enter the respective value for Height of Nonagon 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 Nonagon?

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

Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9)
Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9)))
Side of Nonagon = 2*Inradius of Nonagon*tan(pi/9)

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