Side of Nonagon given Circumradius Calculator

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

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Side of Nonagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Side of Nonagon - (Measured in Meter) - The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.
Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 2*r_c*sin(pi/9) --> 2*12*sin(pi/9)

Evaluating ... ...

S = 8.20848343981605

STEP 3: Convert Result to Output's Unit

8.20848343981605 Meter --> No Conversion Required

FINAL ANSWER

8.20848343981605 ≈ 8.208483 Meter <-- Side 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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< Side of Nonagon Calculators

Side of Nonagon given Diagonal across Four Sides

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

Side of Nonagon given Area

LaTeX Go Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9)))

Side of Nonagon given Circumradius

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

Side of Nonagon given Inradius

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

< Side of Nonagon Calculators

Side of Nonagon given Height

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

Side of Nonagon given Area

LaTeX Go Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9)))

Side of Nonagon given Circumradius

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

Side of Nonagon given Circumradius Formula

LaTeX Go

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

Side of Nonagon given Circumradius calculator uses Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9) to calculate the Side of Nonagon, Side of Nonagon given Circumradius formula is defined as the length of the line connecting two adjacent vertices of Nonagon, calculated using circumradius. Side of Nonagon is denoted by S symbol.

How to calculate Side of Nonagon given Circumradius using this online calculator? To use this online calculator for Side of Nonagon given Circumradius, enter Circumradius of Nonagon (r_c) and hit the calculate button. Here is how the Side of Nonagon given Circumradius calculation can be explained with given input values -> 8.208483 = 2*12*sin(pi/9).

FAQ

What is Side of Nonagon given Circumradius?

Side of Nonagon given Circumradius formula is defined as the length of the line connecting two adjacent vertices of Nonagon, calculated using circumradius and is represented as S = 2*r_c*sin(pi/9) or Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9). The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

How to calculate Side of Nonagon given Circumradius?

Side of Nonagon given Circumradius formula is defined as the length of the line connecting two adjacent vertices of Nonagon, calculated using circumradius is calculated using Side of Nonagon = 2*Circumradius of Nonagon*sin(pi/9). To calculate Side of Nonagon given Circumradius, you need Circumradius of Nonagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Side of Nonagon?

In this formula, Side of Nonagon uses Circumradius of Nonagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Side of Nonagon = sqrt(4/9*(Area of Nonagon/cot(pi/9)))
Side of Nonagon = 2*Inradius of Nonagon*tan(pi/9)
Side of Nonagon = Diagonal across Four Sides of Nonagon*((sin(pi/9))/(sin(4*pi/9)))

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