Perimeter 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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✖Perimeter of Nonagon is the total distance around the edge of the Nonagon.ⓘ Perimeter of Nonagon given Circumradius [P]

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Perimeter of Nonagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Perimeter of Nonagon - (Measured in Meter) - Perimeter of Nonagon is the total distance around the edge of the 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

P = 18*r_c*sin(pi/9) --> 18*12*sin(pi/9)

Evaluating ... ...

P = 73.8763509583444

STEP 3: Convert Result to Output's Unit

73.8763509583444 Meter --> No Conversion Required

FINAL ANSWER

73.8763509583444 ≈ 73.87635 Meter <-- Perimeter of Nonagon

(Calculation completed in 00.006 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Perimeter of Nonagon Calculators

Perimeter of Nonagon given Diagonal across Three Sides

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

Perimeter of Nonagon given Diagonal across Four Sides

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

Perimeter of Nonagon given Area

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

Perimeter of Nonagon given Circumradius

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

Perimeter of Nonagon given Circumradius Formula

LaTeX Go

Perimeter of Nonagon = 18*Circumradius of Nonagon*sin(pi/9)
P = 18*r_c*sin(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 Perimeter of Nonagon given Circumradius?

Perimeter of Nonagon given Circumradius calculator uses Perimeter of Nonagon = 18*Circumradius of Nonagon*sin(pi/9) to calculate the Perimeter of Nonagon, Perimeter of Nonagon given Circumradius formula is defined as the length of the boundary of the Nonagon, calculated using circumradius. Perimeter of Nonagon is denoted by P symbol.

How to calculate Perimeter of Nonagon given Circumradius using this online calculator? To use this online calculator for Perimeter of Nonagon given Circumradius, enter Circumradius of Nonagon (r_c) and hit the calculate button. Here is how the Perimeter of Nonagon given Circumradius calculation can be explained with given input values -> 73.87635 = 18*12*sin(pi/9).

FAQ

What is Perimeter of Nonagon given Circumradius?

Perimeter of Nonagon given Circumradius formula is defined as the length of the boundary of the Nonagon, calculated using circumradius and is represented as P = 18*r_c*sin(pi/9) or Perimeter of Nonagon = 18*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 Perimeter of Nonagon given Circumradius?

Perimeter of Nonagon given Circumradius formula is defined as the length of the boundary of the Nonagon, calculated using circumradius is calculated using Perimeter of Nonagon = 18*Circumradius of Nonagon*sin(pi/9). To calculate Perimeter 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 Perimeter of Nonagon?

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

Perimeter of Nonagon = 9*Diagonal across Four Sides of Nonagon*(sin(pi/9)/sin(4*pi/9))
Perimeter of Nonagon = 9*Diagonal across Three Sides of Nonagon*(sin(pi/9)/sin(3*pi/9))
Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9)))

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