Circumradius of Nonagon Calculator

✖The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.ⓘ Side of Nonagon [S]

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

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Circumradius of Nonagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))
r_c = S/(2*sin(pi/9))
This formula uses 1 Constants, 1 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)

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.
Side of Nonagon - (Measured in Meter) - The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

STEP 1: Convert Input(s) to Base Unit

Side of Nonagon: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = S/(2*sin(pi/9)) --> 8/(2*sin(pi/9))

Evaluating ... ...

r_c = 11.6952176006524

STEP 3: Convert Result to Output's Unit

11.6952176006524 Meter --> No Conversion Required

FINAL ANSWER

11.6952176006524 ≈ 11.69522 Meter <-- Circumradius of Nonagon

(Calculation completed in 00.008 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vishwakarma Institute of Technology (VIT), Pune

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< Circumradius of Nonagon Calculators

Circumradius of Nonagon given Diagonal across Three Sides

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

Circumradius of Nonagon given Diagonal across Four Sides

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

Circumradius of Nonagon given Diagonal across Two Sides

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

Circumradius of Nonagon

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

< Radius of Nonagon Calculators

Inradius of Nonagon given Diagonal across Two Sides

LaTeX 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

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

Circumradius of Nonagon

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

Inradius of Nonagon

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

Circumradius of Nonagon Formula

LaTeX Go

Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))
r_c = S/(2*sin(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 Circumradius of Nonagon?

Circumradius of Nonagon calculator uses Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9)) to calculate the Circumradius of Nonagon, Circumradius of Nonagon formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon. Circumradius of Nonagon is denoted by r_c symbol.

How to calculate Circumradius of Nonagon using this online calculator? To use this online calculator for Circumradius of Nonagon, enter Side of Nonagon (S) and hit the calculate button. Here is how the Circumradius of Nonagon calculation can be explained with given input values -> 11.69522 = 8/(2*sin(pi/9)).

FAQ

What is Circumradius of Nonagon?

Circumradius of Nonagon formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon and is represented as r_c = S/(2*sin(pi/9)) or Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9)). The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

How to calculate Circumradius of Nonagon?

Circumradius of Nonagon formula is defined as the length of the line connecting the circumcenter and any point of the circle that touches all vertices of Nonagon is calculated using Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9)). To calculate Circumradius of Nonagon, you need Side of Nonagon (S). With our tool, you need to enter the respective value for Side 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 Side of Nonagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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