Perimeter of Hexadecagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Hexadecagon = 16*(sqrt(Area of Hexadecagon/(4*cot(pi/16))))
P = 16*(sqrt(A/(4*cot(pi/16))))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Trigonometric cotangent function, cot(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the figure.
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the figure.
STEP 1: Convert Input(s) to Base Unit
Area of Hexadecagon: 500 Square Meter --> 500 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 16*(sqrt(A/(4*cot(pi/16)))) --> 16*(sqrt(500/(4*cot(pi/16))))
Evaluating ... ...
P = 79.782176932878
STEP 3: Convert Result to Output's Unit
79.782176932878 Meter --> No Conversion Required
FINAL ANSWER
79.782176932878 Meter <-- Perimeter of Hexadecagon
(Calculation completed in 00.009 seconds)

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10+ Perimeter of Hexadecagon Calculators

Perimeter of Hexadecagon given Diagonal across Seven Sides
Perimeter of Hexadecagon = 16*Diagonal across Seven Sides of Hexadecagon*(sin(pi/16))/(sin(7*pi/16)) Go
Perimeter of Hexadecagon given Diagonal across Five Sides
Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*(sin(pi/16))/sin(5*(pi/16)) Go
Perimeter of Hexadecagon given Diagonal across Three Sides
Perimeter of Hexadecagon = 16*Diagonal across Three Sides of Hexadecagon*(sin(pi/16)/sin(3*pi/16)) Go
Perimeter of Hexadecagon given Diagonal across Six Sides
Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*(sin(pi/16)/sin(3*pi/8)) Go
Perimeter of Hexadecagon given Diagonal across Two Sides
Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*(sin(pi/16)/sin(pi/8)) Go
Perimeter of Hexadecagon given Height
Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin(7*pi/16)) Go
Perimeter of Hexadecagon given Diagonal across Four Sides
Perimeter of Hexadecagon = 16*(Diagonal across Four Sides of Hexadecagon/(sqrt(2)/2/sin(pi/16))) Go
Perimeter of Hexadecagon given Area
Perimeter of Hexadecagon = 16*(sqrt(Area of Hexadecagon/(4*cot(pi/16)))) Go
Perimeter of Hexadecagon given Diagonal across Eight Sides
Perimeter of Hexadecagon = 16*Diagonal across Eight Sides of Hexadecagon*sin(pi/16) Go
Perimeter of Hexadecagon
Perimeter of Hexadecagon = 16*Side of Hexadecagon Go

Perimeter of Hexadecagon given Area Formula

Perimeter of Hexadecagon = 16*(sqrt(Area of Hexadecagon/(4*cot(pi/16))))
P = 16*(sqrt(A/(4*cot(pi/16))))

What is Hexadecagon?

A Hexadecagon is a 16-sided polygon, in which all angles are equal and all sides are congruent. Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees. Hexadecagons are sometimes used in art and architecture.

How to Calculate Perimeter of Hexadecagon given Area?

Perimeter of Hexadecagon given Area calculator uses Perimeter of Hexadecagon = 16*(sqrt(Area of Hexadecagon/(4*cot(pi/16)))) to calculate the Perimeter of Hexadecagon, The Perimeter of Hexadecagon given Area formula is defined as the total distance around the edge of the Hexadecagon, calculated using the area. Perimeter of Hexadecagon is denoted by P symbol.

How to calculate Perimeter of Hexadecagon given Area using this online calculator? To use this online calculator for Perimeter of Hexadecagon given Area, enter Area of Hexadecagon (A) and hit the calculate button. Here is how the Perimeter of Hexadecagon given Area calculation can be explained with given input values -> 79.78218 = 16*(sqrt(500/(4*cot(pi/16)))).

FAQ

What is Perimeter of Hexadecagon given Area?
The Perimeter of Hexadecagon given Area formula is defined as the total distance around the edge of the Hexadecagon, calculated using the area and is represented as P = 16*(sqrt(A/(4*cot(pi/16)))) or Perimeter of Hexadecagon = 16*(sqrt(Area of Hexadecagon/(4*cot(pi/16)))). Area of Hexadecagon is the amount of 2-dimensional space occupied by the figure.
How to calculate Perimeter of Hexadecagon given Area?
The Perimeter of Hexadecagon given Area formula is defined as the total distance around the edge of the Hexadecagon, calculated using the area is calculated using Perimeter of Hexadecagon = 16*(sqrt(Area of Hexadecagon/(4*cot(pi/16)))). To calculate Perimeter of Hexadecagon given Area, you need Area of Hexadecagon (A). With our tool, you need to enter the respective value for Area of Hexadecagon 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 Hexadecagon?
In this formula, Perimeter of Hexadecagon uses Area of Hexadecagon. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Hexadecagon = 16*Side of Hexadecagon
  • Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*(sin(pi/16)/sin(pi/8))
  • Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin(7*pi/16))
  • Perimeter of Hexadecagon = 16*Diagonal across Eight Sides of Hexadecagon*sin(pi/16)
  • Perimeter of Hexadecagon = 16*Diagonal across Seven Sides of Hexadecagon*(sin(pi/16))/(sin(7*pi/16))
  • Perimeter of Hexadecagon = 16*Diagonal across Six Sides of Hexadecagon*(sin(pi/16)/sin(3*pi/8))
  • Perimeter of Hexadecagon = 16*Diagonal across Five Sides of Hexadecagon*(sin(pi/16))/sin(5*(pi/16))
  • Perimeter of Hexadecagon = 16*(Diagonal across Four Sides of Hexadecagon/(sqrt(2)/2/sin(pi/16)))
  • Perimeter of Hexadecagon = 16*Diagonal across Three Sides of Hexadecagon*(sin(pi/16)/sin(3*pi/16))
  • Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))
  • Perimeter of Hexadecagon = 16*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
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