Inradius of Nonagon given Perimeter Calculator

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

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

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Inradius of Nonagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Inradius of Nonagon - (Measured in Meter) - Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.
Perimeter of Nonagon - (Measured in Meter) - Perimeter of Nonagon is the total distance around the edge of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Nonagon: 70 Meter --> 70 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = P/(tan(pi/9)*18) --> 70/(tan(pi/9)*18)

Evaluating ... ...

r_i = 10.6846344089902

STEP 3: Convert Result to Output's Unit

10.6846344089902 Meter --> No Conversion Required

FINAL ANSWER

10.6846344089902 ≈ 10.68463 Meter <-- Inradius of Nonagon

(Calculation completed in 00.006 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Inradius of Nonagon Calculators

Inradius of Nonagon given Diagonal across Four Sides

LaTeX Go Inradius of Nonagon = Diagonal across Four Sides of Nonagon*((sin(pi/18))/(tan(pi/9)))

Inradius of Nonagon given Circumradius

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

Inradius of Nonagon given Height

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

Inradius of Nonagon

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

Inradius of Nonagon given Perimeter Formula

LaTeX Go

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

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 Inradius of Nonagon given Perimeter?

Inradius of Nonagon given Perimeter calculator uses Inradius of Nonagon = Perimeter of Nonagon/(tan(pi/9)*18) to calculate the Inradius of Nonagon, Inradius of Nonagon given Perimeter formula is defined as a straight line connecting the incenter and any point on the circle that touches all the edges of the Nonagon, calculated using perimeter. Inradius of Nonagon is denoted by r_i symbol.

How to calculate Inradius of Nonagon given Perimeter using this online calculator? To use this online calculator for Inradius of Nonagon given Perimeter, enter Perimeter of Nonagon (P) and hit the calculate button. Here is how the Inradius of Nonagon given Perimeter calculation can be explained with given input values -> 10.68463 = 70/(tan(pi/9)*18).

FAQ

What is Inradius of Nonagon given Perimeter?

Inradius of Nonagon given Perimeter formula is defined as a straight line connecting the incenter and any point on the circle that touches all the edges of the Nonagon, calculated using perimeter and is represented as r_i = P/(tan(pi/9)*18) or Inradius of Nonagon = Perimeter of Nonagon/(tan(pi/9)*18). Perimeter of Nonagon is the total distance around the edge of the Nonagon.

How to calculate Inradius of Nonagon given Perimeter?

Inradius of Nonagon given Perimeter formula is defined as a straight line connecting the incenter and any point on the circle that touches all the edges of the Nonagon, calculated using perimeter is calculated using Inradius of Nonagon = Perimeter of Nonagon/(tan(pi/9)*18). To calculate Inradius of Nonagon given Perimeter, you need Perimeter of Nonagon (P). With our tool, you need to enter the respective value for Perimeter 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 Inradius of Nonagon?

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

Inradius of Nonagon = Diagonal across Four Sides of Nonagon*((sin(pi/18))/(tan(pi/9)))
Inradius of Nonagon = Side of Nonagon/(2*tan(pi/9))
Inradius of Nonagon = Circumradius of Nonagon*sin(pi/9)/tan(pi/9)

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