Perimeter of Nonagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9)))
P = 9*sqrt((4*A)/(9*cot(pi/9)))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Perimeter of Nonagon - (Measured in Meter) - Perimeter of Nonagon is the total distance around the edge of the Nonagon.
Area of Nonagon - (Measured in Square Meter) - The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.
STEP 1: Convert Input(s) to Base Unit
Area of Nonagon: 395 Square Meter --> 395 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 9*sqrt((4*A)/(9*cot(pi/9))) --> 9*sqrt((4*395)/(9*cot(pi/9)))
Evaluating ... ...
P = 71.9420373027161
STEP 3: Convert Result to Output's Unit
71.9420373027161 Meter --> No Conversion Required
FINAL ANSWER
71.9420373027161 71.94204 Meter <-- Perimeter of Nonagon
(Calculation completed in 00.004 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 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 Area Formula

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

Perimeter of Nonagon given Area calculator uses Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9))) to calculate the Perimeter of Nonagon, Perimeter of Nonagon given Area formula is defined as the length of the boundary of the Nonagon, calculated using area. Perimeter of Nonagon is denoted by P symbol.

How to calculate Perimeter of Nonagon given Area using this online calculator? To use this online calculator for Perimeter of Nonagon given Area, enter Area of Nonagon (A) and hit the calculate button. Here is how the Perimeter of Nonagon given Area calculation can be explained with given input values -> 71.94204 = 9*sqrt((4*395)/(9*cot(pi/9))).

FAQ

What is Perimeter of Nonagon given Area?
Perimeter of Nonagon given Area formula is defined as the length of the boundary of the Nonagon, calculated using area and is represented as P = 9*sqrt((4*A)/(9*cot(pi/9))) or Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9))). The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.
How to calculate Perimeter of Nonagon given Area?
Perimeter of Nonagon given Area formula is defined as the length of the boundary of the Nonagon, calculated using area is calculated using Perimeter of Nonagon = 9*sqrt((4*Area of Nonagon)/(9*cot(pi/9))). To calculate Perimeter of Nonagon given Area, you need Area of Nonagon (A). With our tool, you need to enter the respective value for Area 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 Area 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 = 18*Circumradius of Nonagon*sin(pi/9)
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