Perimeter of Hexadecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))
P = 16*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*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.
Circumradius of Hexadecagon - (Measured in Meter) - Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.
STEP 1: Convert Input(s) to Base Unit
Circumradius of Hexadecagon: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 16*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))) --> 16*(13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))
Evaluating ... ...
P = 81.1575739587093
STEP 3: Convert Result to Output's Unit
81.1575739587093 Meter --> No Conversion Required
FINAL ANSWER
81.1575739587093 Meter <-- Perimeter of Hexadecagon
(Calculation completed in 00.010 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 Circumradius Formula

Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)))
P = 16*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*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 Circumradius?

Perimeter of Hexadecagon given Circumradius calculator uses Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))) to calculate the Perimeter of Hexadecagon, The Perimeter of Hexadecagon given Circumradius formula is defined as the total distance around the edge of the Hexadecagon, calculated using circumradius. Perimeter of Hexadecagon is denoted by P symbol.

How to calculate Perimeter of Hexadecagon given Circumradius using this online calculator? To use this online calculator for Perimeter of Hexadecagon given Circumradius, enter Circumradius of Hexadecagon (rc) and hit the calculate button. Here is how the Perimeter of Hexadecagon given Circumradius calculation can be explained with given input values -> 81.15757 = 16*(13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))).

FAQ

What is Perimeter of Hexadecagon given Circumradius?
The Perimeter of Hexadecagon given Circumradius formula is defined as the total distance around the edge of the Hexadecagon, calculated using circumradius and is represented as P = 16*(rc/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))) or Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))). Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.
How to calculate Perimeter of Hexadecagon given Circumradius?
The Perimeter of Hexadecagon given Circumradius formula is defined as the total distance around the edge of the Hexadecagon, calculated using circumradius is calculated using Perimeter of Hexadecagon = 16*(Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))). To calculate Perimeter of Hexadecagon given Circumradius, you need Circumradius of Hexadecagon (rc). With our tool, you need to enter the respective value for Circumradius 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 Circumradius 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*(Inradius of Hexadecagon/((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2))
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