Height of Nonagon given Side Calculator

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

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

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Height of Nonagon given Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Side of Nonagon - (Measured in Meter) - The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

STEP 1: Convert Input(s) to Base Unit

Side of Nonagon: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((1+cos(pi/9))/(2*sin(pi/9)))*S --> ((1+cos(pi/9))/(2*sin(pi/9)))*8

Evaluating ... ...

h = 22.6851272784708

STEP 3: Convert Result to Output's Unit

22.6851272784708 Meter --> No Conversion Required

FINAL ANSWER

22.6851272784708 ≈ 22.68513 Meter <-- Height of Nonagon

(Calculation completed in 00.008 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Height of Nonagon Calculators

Height of Nonagon given Area

LaTeX Go Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))

Height of Nonagon given Side

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

Height of Nonagon given Inradius

LaTeX Go Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9))

Height of Nonagon

LaTeX Go Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon

< Height of Nonagon Calculators

Height of Nonagon given Area

LaTeX Go Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))

Height of Nonagon given Side

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

Height of Nonagon

LaTeX Go Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon

Height of Nonagon given Side Formula

LaTeX Go

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

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 Height of Nonagon given Side?

Height of Nonagon given Side calculator uses Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon to calculate the Height of Nonagon, Height of Nonagon given Side formula is defined as a perpendicular line connecting apex and a point on opposite side of apex of Nonagon, calculated using side. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon given Side using this online calculator? To use this online calculator for Height of Nonagon given Side, enter Side of Nonagon (S) and hit the calculate button. Here is how the Height of Nonagon given Side calculation can be explained with given input values -> 22.68513 = ((1+cos(pi/9))/(2*sin(pi/9)))*8.

FAQ

What is Height of Nonagon given Side?

Height of Nonagon given Side formula is defined as a perpendicular line connecting apex and a point on opposite side of apex of Nonagon, calculated using side and is represented as h = ((1+cos(pi/9))/(2*sin(pi/9)))*S or Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon. The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

How to calculate Height of Nonagon given Side?

Height of Nonagon given Side formula is defined as a perpendicular line connecting apex and a point on opposite side of apex of Nonagon, calculated using side is calculated using Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon. To calculate Height of Nonagon given Side, you need Side of Nonagon (S). With our tool, you need to enter the respective value for Side 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 Height of Nonagon?

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

Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon
Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))
Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9))

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