Perimeter of Nonagon given Inradius Calculator

✖Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.ⓘ Inradius of Nonagon [r_i]

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

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Perimeter of Nonagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9)
P = 18*r_i*tan(pi/9)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 18*r_i*tan(pi/9) --> 18*11*tan(pi/9)

Evaluating ... ...

P = 72.0661063847081

STEP 3: Convert Result to Output's Unit

72.0661063847081 Meter --> No Conversion Required

FINAL ANSWER

72.0661063847081 ≈ 72.06611 Meter <-- Perimeter of Nonagon

(Calculation completed in 00.020 seconds)

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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 Calculators

Perimeter of Nonagon given Area

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

Perimeter of Nonagon given Inradius

LaTeX Go Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9)

Perimeter of Nonagon

LaTeX Go Perimeter of Nonagon = 9*Side of Nonagon

Perimeter of Nonagon given Inradius Formula

LaTeX Go

Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9)
P = 18*r_i*tan(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 Perimeter of Nonagon given Inradius?

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

How to calculate Perimeter of Nonagon given Inradius using this online calculator? To use this online calculator for Perimeter of Nonagon given Inradius, enter Inradius of Nonagon (r_i) and hit the calculate button. Here is how the Perimeter of Nonagon given Inradius calculation can be explained with given input values -> 72.06611 = 18*11*tan(pi/9).

FAQ

What is Perimeter of Nonagon given Inradius?

Perimeter of Nonagon given Inradius formula is defined as the length of the boundary of the Nonagon, calculated using inradius and is represented as P = 18*r_i*tan(pi/9) or Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9). Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

How to calculate Perimeter of Nonagon given Inradius?

Perimeter of Nonagon given Inradius formula is defined as the length of the boundary of the Nonagon, calculated using inradius is calculated using Perimeter of Nonagon = 18*Inradius of Nonagon*tan(pi/9). To calculate Perimeter of Nonagon given Inradius, you need Inradius of Nonagon (r_i). With our tool, you need to enter the respective value for 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 Perimeter of Nonagon?

In this formula, Perimeter of Nonagon uses Inradius 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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