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Area of Nonagon given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = ((Perimeter)^2*cot(pi/9))/36
A = ((P)^2*cot(pi/9))/36
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Trigonometric cotangent function, cot(Angle)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((P)^2*cot(pi/9))/36 --> ((20)^2*cot(pi/9))/36
Evaluating ... ...
A = 30.5275268828291
STEP 3: Convert Result to Output's Unit
30.5275268828291 Square Meter --> No Conversion Required
FINAL ANSWER
30.5275268828291 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

5 Area of Nonagon Calculators

Area of Nonagon given height
area = (9*Height*sin(2*pi/9))/(2*(1+sin(pi/9)*tan(pi/9))) Go
Area of Nonagon given inradius
area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)) Go
Area of Nonagon given circumradius
area = (9/2)*(Circumradius)*sin(2*pi/9) Go
Area of Nonagon given perimeter
area = ((Perimeter)^2*cot(pi/9))/36 Go
Area of Nonagon given side
area = (9/4)*(Side)^2*cot(pi/9) Go

Area of Nonagon given perimeter Formula

area = ((Perimeter)^2*cot(pi/9))/36
A = ((P)^2*cot(pi/9))/36

What are the properties of nonagon?

Regular Nonagon: Has nine sides of equal length and nine interior angles, each measuring 140°, and exterior angles of 40° each. It has nine lines of symmetry and rotational equilibrium of order nine. All regular nonagon is convex.

How to Calculate Area of Nonagon given perimeter?

Area of Nonagon given perimeter calculator uses area = ((Perimeter)^2*cot(pi/9))/36 to calculate the Area, Area of Nonagon given perimeter formula is defined as amount or quantity of space occupied by nonagon in given plane. Area and is denoted by A symbol.

How to calculate Area of Nonagon given perimeter using this online calculator? To use this online calculator for Area of Nonagon given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Area of Nonagon given perimeter calculation can be explained with given input values -> 30.52753 = ((20)^2*cot(pi/9))/36.

FAQ

What is Area of Nonagon given perimeter?
Area of Nonagon given perimeter formula is defined as amount or quantity of space occupied by nonagon in given plane and is represented as A = ((P)^2*cot(pi/9))/36 or area = ((Perimeter)^2*cot(pi/9))/36. The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Area of Nonagon given perimeter?
Area of Nonagon given perimeter formula is defined as amount or quantity of space occupied by nonagon in given plane is calculated using area = ((Perimeter)^2*cot(pi/9))/36. To calculate Area of Nonagon given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Area?
In this formula, Area uses Perimeter. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = (9/2)*(Circumradius)*sin(2*pi/9)
  • area = (9*Height*sin(2*pi/9))/(2*(1+sin(pi/9)*tan(pi/9)))
  • area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))
  • area = ((Perimeter)^2*cot(pi/9))/36
  • area = (9/4)*(Side)^2*cot(pi/9)
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