Perimeter of Hexadecagon given Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Hexadecagon = 16*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
P = 16*(ri/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
This formula uses 1 Functions, 2 Variables
Functions Used
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.
Inradius of Hexadecagon - (Measured in Meter) - Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.
STEP 1: Convert Input(s) to Base Unit
Inradius of Hexadecagon: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 16*(ri/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)) --> 16*(12/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
Evaluating ... ...
P = 76.3823490737887
STEP 3: Convert Result to Output's Unit
76.3823490737887 Meter --> No Conversion Required
FINAL ANSWER
76.3823490737887 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 Inradius Formula

Perimeter of Hexadecagon = 16*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
P = 16*(ri/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))

What is a 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 Inradius?

Perimeter of Hexadecagon given Inradius calculator uses Perimeter of Hexadecagon = 16*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)) to calculate the Perimeter of Hexadecagon, The Perimeter of Hexadecagon given Inradius formula is defined the total distance around the edge of the Hexadecagon, calculated using inradius. Perimeter of Hexadecagon is denoted by P symbol.

How to calculate Perimeter of Hexadecagon given Inradius using this online calculator? To use this online calculator for Perimeter of Hexadecagon given Inradius, enter Inradius of Hexadecagon (ri) and hit the calculate button. Here is how the Perimeter of Hexadecagon given Inradius calculation can be explained with given input values -> 76.38235 = 16*(12/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)).

FAQ

What is Perimeter of Hexadecagon given Inradius?
The Perimeter of Hexadecagon given Inradius formula is defined the total distance around the edge of the Hexadecagon, calculated using inradius and is represented as P = 16*(ri/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)) or Perimeter of Hexadecagon = 16*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)). Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.
How to calculate Perimeter of Hexadecagon given Inradius?
The Perimeter of Hexadecagon given Inradius formula is defined the total distance around the edge of the Hexadecagon, calculated using inradius is calculated using Perimeter of Hexadecagon = 16*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)). To calculate Perimeter of Hexadecagon given Inradius, you need Inradius of Hexadecagon (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius 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*(sqrt(Area of Hexadecagon/(4*cot(pi/16))))
  • Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))
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