Height of Nonagon given Perimeter Calculator

✖Perimeter of Nonagon is the total distance around the edge of the Nonagon.ⓘ Perimeter of Nonagon [P]

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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 Perimeter [h]

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Height of Nonagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18))
h = P/(18*tan(pi/18))
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

Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Perimeter of Nonagon - (Measured in Meter) - Perimeter of Nonagon is the total distance around the edge of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Nonagon: 70 Meter --> 70 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = P/(18*tan(pi/18)) --> 70/(18*tan(pi/18))

Evaluating ... ...

h = 22.0549848540689

STEP 3: Convert Result to Output's Unit

22.0549848540689 Meter --> No Conversion Required

FINAL ANSWER

22.0549848540689 ≈ 22.05498 Meter <-- Height of Nonagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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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 given Perimeter Formula

LaTeX Go

Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18))
h = P/(18*tan(pi/18))

What is 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 Perimeter?

Height of Nonagon given Perimeter calculator uses Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18)) to calculate the Height of Nonagon, The Height of Nonagon given Perimeter formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using Perimeter. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon given Perimeter using this online calculator? To use this online calculator for Height of Nonagon given Perimeter, enter Perimeter of Nonagon (P) and hit the calculate button. Here is how the Height of Nonagon given Perimeter calculation can be explained with given input values -> 22.05498 = 70/(18*tan(pi/18)).

FAQ

What is Height of Nonagon given Perimeter?

The Height of Nonagon given Perimeter formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using Perimeter and is represented as h = P/(18*tan(pi/18)) or Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18)). Perimeter of Nonagon is the total distance around the edge of the Nonagon.

How to calculate Height of Nonagon given Perimeter?

The Height of Nonagon given Perimeter formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using Perimeter is calculated using Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18)). To calculate Height of Nonagon given Perimeter, you need Perimeter of Nonagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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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