Perimeter of Hexadecagon given Inradius Calculator

✖Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.ⓘ Inradius of Hexadecagon [r_i]

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✖Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.ⓘ Perimeter of Hexadecagon given Inradius [P]

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Perimeter of Hexadecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))))
P = 16*((2*r_i)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))))
This formula uses 1 Functions, 2 Variables

Functions Used

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 Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.
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*((2*r_i)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))) --> 16*((2*12)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))))

Evaluating ... ...

P = 76.3823490737887

STEP 3: Convert Result to Output's Unit

76.3823490737887 Meter --> No Conversion Required

FINAL ANSWER

76.3823490737887 ≈ 76.38235 Meter <-- Perimeter of Hexadecagon

(Calculation completed in 00.004 seconds)

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< Perimeter of Hexadecagon Calculators

Perimeter of Hexadecagon given Diagonal across Two Sides

LaTeX Go Perimeter of Hexadecagon = 16*Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)

Perimeter of Hexadecagon given Height

LaTeX Go Perimeter of Hexadecagon = 16*Height of Hexadecagon*(sin(pi/16))/(sin((7*pi)/16))

Perimeter of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Perimeter of Hexadecagon = 16*Diagonal across Eight Sides of Hexadecagon*sin(pi/16)

Perimeter of Hexadecagon

LaTeX Go Perimeter of Hexadecagon = 16*Side of Hexadecagon

Perimeter of Hexadecagon given Inradius Formula

LaTeX Go

Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))))
P = 16*((2*r_i)/(1+sqrt(2)+sqrt(2*(2+sqrt(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*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(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 (r_i) 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*((2*12)/(1+sqrt(2)+sqrt(2*(2+sqrt(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*((2*r_i)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))) or Perimeter of Hexadecagon = 16*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(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*((2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))). To calculate Perimeter of Hexadecagon given Inradius, you need Inradius of Hexadecagon (r_i). 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 3 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))

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