Circumradius of Nonagon given Height Calculator

✖The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.ⓘ Circumradius of Nonagon given Height [r_c]

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Formula

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Circumradius of Nonagon given Height

Formula

`"r"_{"c"} = "h"/(1+cos(pi/9))`

Example

`"11.342m"="22m"/(1+cos(pi/9))`

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Circumradius of Nonagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9))
r_c = h/(1+cos(pi/9))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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

Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.
Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Nonagon: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = h/(1+cos(pi/9)) --> 22/(1+cos(pi/9))

Evaluating ... ...

r_c = 11.3420032453834

STEP 3: Convert Result to Output's Unit

11.3420032453834 Meter --> No Conversion Required

FINAL ANSWER

11.3420032453834 ≈ 11.342 Meter <-- Circumradius of Nonagon

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 9 Circumradius of Nonagon Calculators

Circumradius of Nonagon given Inradius

Go Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9)))

Circumradius of Nonagon given Area

Go Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))

Circumradius of Nonagon given Diagonal across Three Sides

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

Circumradius of Nonagon given Diagonal across Four Sides

Go Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))

Circumradius of Nonagon given Diagonal across Two Sides

Go Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))

Circumradius of Nonagon given Perimeter

Go Circumradius of Nonagon = Perimeter of Nonagon/(18*sin(pi/9))

Circumradius of Nonagon given Height

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

Circumradius of Nonagon

Go Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))

Circumradius of Nonagon given Inradius and Height

Go Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon

< 5 Radius of Nonagon Calculators

Inradius of Nonagon given Diagonal across Two Sides

Go Inradius of Nonagon = ((Diagonal across Two Sides of Nonagon/(2*(sin(2*pi/9))))*sin(pi/9))/tan(pi/9)

Circumradius of Nonagon given Height

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

Circumradius of Nonagon

Go Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))

Inradius of Nonagon given Height

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

Inradius of Nonagon

Go Inradius of Nonagon = Side of Nonagon/(2*tan(pi/9))

Circumradius of Nonagon given Height Formula

Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9))
r_c = h/(1+cos(pi/9))

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 Circumradius of Nonagon given Height?

Circumradius of Nonagon given Height calculator uses Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9)) to calculate the Circumradius of Nonagon, Circumradius of Nonagon given Height formula is defined as the length of the straight line connecting the circumcenter and any point on the circle that touches all vertices of the Nonagon, calculated using height. Circumradius of Nonagon is denoted by r_c symbol.

How to calculate Circumradius of Nonagon given Height using this online calculator? To use this online calculator for Circumradius of Nonagon given Height, enter Height of Nonagon (h) and hit the calculate button. Here is how the Circumradius of Nonagon given Height calculation can be explained with given input values -> 11.342 = 22/(1+cos(pi/9)).

FAQ

What is Circumradius of Nonagon given Height?

Circumradius of Nonagon given Height formula is defined as the length of the straight line connecting the circumcenter and any point on the circle that touches all vertices of the Nonagon, calculated using height and is represented as r_c = h/(1+cos(pi/9)) or Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9)). Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Circumradius of Nonagon given Height?

Circumradius of Nonagon given Height formula is defined as the length of the straight line connecting the circumcenter and any point on the circle that touches all vertices of the Nonagon, calculated using height is calculated using Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9)). To calculate Circumradius of Nonagon given Height, you need Height of Nonagon (h). With our tool, you need to enter the respective value for Height 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 Circumradius of Nonagon?

In this formula, Circumradius of Nonagon uses Height of Nonagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))
Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))
Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))
Circumradius of Nonagon = Diagonal across Three Sides of Nonagon/(2*sin(3*pi/9))
Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon
Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))
Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9)))
Circumradius of Nonagon = Perimeter of Nonagon/(18*sin(pi/9))
Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))

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