Perimeter of Nonagon given Height Calculator

✖Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Nonagon [h]

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

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Perimeter of Nonagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Nonagon = 18*tan(pi/18)*Height of Nonagon
P = 18*tan(pi/18)*h
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.
Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Nonagon: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 18*tan(pi/18)*h --> 18*tan(pi/18)*22

Evaluating ... ...

P = 69.8254843605521

STEP 3: Convert Result to Output's Unit

69.8254843605521 Meter --> No Conversion Required

FINAL ANSWER

69.8254843605521 ≈ 69.82548 Meter <-- Perimeter of Nonagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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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 Height Formula

LaTeX Go

Perimeter of Nonagon = 18*tan(pi/18)*Height of Nonagon
P = 18*tan(pi/18)*h

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 Height?

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

How to calculate Perimeter of Nonagon given Height using this online calculator? To use this online calculator for Perimeter of Nonagon given Height, enter Height of Nonagon (h) and hit the calculate button. Here is how the Perimeter of Nonagon given Height calculation can be explained with given input values -> 69.82548 = 18*tan(pi/18)*22.

FAQ

What is Perimeter of Nonagon given Height?

The Perimeter of Nonagon given Height formula is defined as the length of the boundary of the Nonagon, calculated using height and is represented as P = 18*tan(pi/18)*h or Perimeter of Nonagon = 18*tan(pi/18)*Height of Nonagon. Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Perimeter of Nonagon given Height?

The Perimeter of Nonagon given Height formula is defined as the length of the boundary of the Nonagon, calculated using height is calculated using Perimeter of Nonagon = 18*tan(pi/18)*Height of Nonagon. To calculate Perimeter of Nonagon given Height, you need Height of Nonagon (h). With our tool, you need to enter the respective value for Height 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 Height 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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