Height of Nonagon given Diagonal across Three Sides Calculator

✖Diagonal across Three Sides of Nonagon is the straight line joining two non-adjacent vertices which is across three sides of the Nonagon.ⓘ Diagonal across Three Sides of Nonagon [d₃]

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Nonagon Formula PDF PDF Image

Height of Nonagon given Diagonal across Three Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = Diagonal across Three Sides of Nonagon*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18))
h = d₃*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18))
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

Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Diagonal across Three Sides of Nonagon - (Measured in Meter) - Diagonal across Three Sides of Nonagon is the straight line joining two non-adjacent vertices which is across three sides of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Three Sides of Nonagon: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = d₃*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18)) --> 20*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18))

Evaluating ... ...

h = 22.3976411351175

STEP 3: Convert Result to Output's Unit

22.3976411351175 Meter --> No Conversion Required

FINAL ANSWER

22.3976411351175 ≈ 22.39764 Meter <-- Height of Nonagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Nonagon » Height of Nonagon » Height of Nonagon given Diagonal across Three Sides

Credits

Created by Divanshi Jain

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

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< 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 Diagonal across Three Sides Formula

LaTeX Go

Height of Nonagon = Diagonal across Three Sides of Nonagon*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18))
h = d₃*sin(pi/9)/(2*sin(3*pi/9)*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 Diagonal across Three Sides?

Height of Nonagon given Diagonal across Three Sides calculator uses Height of Nonagon = Diagonal across Three Sides of Nonagon*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18)) to calculate the Height of Nonagon, The Height of Nonagon given Diagonal across Three Sides formula is defined as the perpendicular distance between the apex of the Nonagon and a point on its opposite side using the diagonal across three sides. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon given Diagonal across Three Sides using this online calculator? To use this online calculator for Height of Nonagon given Diagonal across Three Sides, enter Diagonal across Three Sides of Nonagon (d₃) and hit the calculate button. Here is how the Height of Nonagon given Diagonal across Three Sides calculation can be explained with given input values -> 22.39764 = 20*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18)).

FAQ

What is Height of Nonagon given Diagonal across Three Sides?

The Height of Nonagon given Diagonal across Three Sides formula is defined as the perpendicular distance between the apex of the Nonagon and a point on its opposite side using the diagonal across three sides and is represented as h = d₃*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18)) or Height of Nonagon = Diagonal across Three Sides of Nonagon*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18)). Diagonal across Three Sides of Nonagon is the straight line joining two non-adjacent vertices which is across three sides of the Nonagon.

How to calculate Height of Nonagon given Diagonal across Three Sides?

The Height of Nonagon given Diagonal across Three Sides formula is defined as the perpendicular distance between the apex of the Nonagon and a point on its opposite side using the diagonal across three sides is calculated using Height of Nonagon = Diagonal across Three Sides of Nonagon*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18)). To calculate Height of Nonagon given Diagonal across Three Sides, you need Diagonal across Three Sides of Nonagon (d₃). With our tool, you need to enter the respective value for Diagonal across Three Sides 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 Diagonal across Three Sides 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))

Home

FREE PDFs

🔍 Search