Height of Nonagon given Diagonal across Four Sides Calculator

✖Diagonal across Four Sides of Nonagon is the straight line joining two non-adjacent vertices which are across four sides of the Nonagon.ⓘ Diagonal across Four Sides of Nonagon [d₄]

+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 Four Sides [h]

⎘ Copy

👎

Formula

✖

Height of Nonagon given Diagonal across Four Sides

Formula

`"h" = "d"_{"4"}*(cos(pi/18))^2/sin(4*pi/9)`

Example

`"22.65058m"="23m"*(cos(pi/18))^2/sin(4*pi/9)`

Calculator

LaTeX

Reset

👍

Download Nonagon Formula PDF

Height of Nonagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = Diagonal across Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9)
h = d₄*(cos(pi/18))^2/sin(4*pi/9)
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.
Diagonal across Four Sides of Nonagon - (Measured in Meter) - Diagonal across Four Sides of Nonagon is the straight line joining two non-adjacent vertices which are across four sides of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Four Sides of Nonagon: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = d₄*(cos(pi/18))^2/sin(4*pi/9) --> 23*(cos(pi/18))^2/sin(4*pi/9)

Evaluating ... ...

h = 22.6505783192808

STEP 3: Convert Result to Output's Unit

22.6505783192808 Meter --> No Conversion Required

FINAL ANSWER

22.6505783192808 ≈ 22.65058 Meter <-- Height of Nonagon

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Nonagon » Height of Nonagon » Height of Nonagon given Diagonal across Four 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 1400+ more calculators!

< 9 Height of Nonagon Calculators

Height of Nonagon given Area

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

Height of Nonagon given Diagonal across Three Sides

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

Height of Nonagon given Diagonal across Four Sides

Go Height of Nonagon = Diagonal across Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9)

Height of Nonagon given Diagonal across Two Sides

Go Height of Nonagon = Diagonal across Two Sides of Nonagon/(4*cos(pi/9)*tan(pi/18))

Height of Nonagon given Side

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

Height of Nonagon given Circumradius

Go Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9))

Height of Nonagon given Perimeter

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

Height of Nonagon given Inradius

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

Height of Nonagon

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

Height of Nonagon given Diagonal across Four Sides Formula

Height of Nonagon = Diagonal across Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9)
h = d₄*(cos(pi/18))^2/sin(4*pi/9)

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 Four Sides?

Height of Nonagon given Diagonal across Four Sides calculator uses Height of Nonagon = Diagonal across Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9) to calculate the Height of Nonagon, The Height of Nonagon given Diagonal across Four Sides formula is defined as the perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using a diagonal across four sides. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Height of Nonagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Nonagon (d₄) and hit the calculate button. Here is how the Height of Nonagon given Diagonal across Four Sides calculation can be explained with given input values -> 22.65058 = 23*(cos(pi/18))^2/sin(4*pi/9).

FAQ

What is Height of Nonagon given Diagonal across Four Sides?

The Height of Nonagon given Diagonal across Four Sides formula is defined as the perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using a diagonal across four sides and is represented as h = d₄*(cos(pi/18))^2/sin(4*pi/9) or Height of Nonagon = Diagonal across Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9). Diagonal across Four Sides of Nonagon is the straight line joining two non-adjacent vertices which are across four sides of the Nonagon.

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

The Height of Nonagon given Diagonal across Four Sides formula is defined as the perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using a diagonal across four sides is calculated using Height of Nonagon = Diagonal across Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9). To calculate Height of Nonagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Nonagon (d₄). With our tool, you need to enter the respective value for Diagonal across Four 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 Four Sides of Nonagon. We can use 8 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))
Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon
Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9))
Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18))
Height of Nonagon = Diagonal across Three Sides of Nonagon*sin(pi/9)/(2*sin(3*pi/9)*tan(pi/18))
Height of Nonagon = Diagonal across Two Sides of Nonagon/(4*cos(pi/9)*tan(pi/18))

Home

FREE PDFs

🔍 Search