Height of Nonagon Calculator

✖The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.ⓘ Circumradius of Nonagon [r_c]			+10% -10%
✖Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.ⓘ Inradius of Nonagon [r_i]			+10% -10%

✖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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Formula

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Height of Nonagon

Formula

`"h" = "r"_{"c"}+"r"_{"i"}`

Example

`"23m"="12m"+"11m"`

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Height of Nonagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon
h = r_c+r_i
This formula uses 3 Variables

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.
Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.
Inradius of Nonagon - (Measured in Meter) - Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Nonagon: 12 Meter --> 12 Meter No Conversion Required
Inradius of Nonagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = r_c+r_i --> 12+11

Evaluating ... ...

h = 23

STEP 3: Convert Result to Output's Unit

23 Meter --> No Conversion Required

FINAL ANSWER

23 Meter <-- Height of Nonagon

(Calculation completed in 00.004 seconds)

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Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Shashwati Tidke

Vishwakarma Institute of Technology (VIT), Pune

Shashwati Tidke has verified this Calculator and 50+ 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

< 3 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 Side

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

Height of Nonagon

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

Height of Nonagon Formula

Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon
h = r_c+r_i

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?

Height of Nonagon calculator uses Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon to calculate the Height of Nonagon, The Height of Nonagon formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon using this online calculator? To use this online calculator for Height of Nonagon, enter Circumradius of Nonagon (r_c) & Inradius of Nonagon (r_i) and hit the calculate button. Here is how the Height of Nonagon calculation can be explained with given input values -> 23 = 12+11.

FAQ

What is Height of Nonagon?

The Height of Nonagon formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side and is represented as h = r_c+r_i or Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon. The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon & Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

How to calculate Height of Nonagon?

The Height of Nonagon formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side is calculated using Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon. To calculate Height of Nonagon, you need Circumradius of Nonagon (r_c) & Inradius of Nonagon (r_i). With our tool, you need to enter the respective value for Circumradius of Nonagon & Inradius 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 Circumradius of Nonagon & Inradius of Nonagon. We can use 10 other way(s) to calculate the same, which is/are as follows -

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 Four Sides of Nonagon*(cos(pi/18))^2/sin(4*pi/9)
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))
Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))
Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon

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