Inradius of Hexadecagon given Perimeter Calculator

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

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

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Inradius of Hexadecagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Inradius of Hexadecagon - (Measured in Meter) - Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon.
Perimeter of Hexadecagon - (Measured in Meter) - Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Hexadecagon: 80 Meter --> 80 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = P/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2) --> 80/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Evaluating ... ...

r_i = 12.5683487303146

STEP 3: Convert Result to Output's Unit

12.5683487303146 Meter --> No Conversion Required

FINAL ANSWER

12.5683487303146 ≈ 12.56835 Meter <-- Inradius of Hexadecagon

(Calculation completed in 00.020 seconds)

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< Inradius of Hexadecagon Calculators

Inradius of Hexadecagon given Diagonal across Six Sides

LaTeX Go Inradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Inradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

Inradius of Hexadecagon

LaTeX Go Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon

Inradius of Hexadecagon given Diagonal across Seven Sides

LaTeX Go Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2

Inradius of Hexadecagon given Perimeter Formula

LaTeX Go

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

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 Inradius of Hexadecagon given Perimeter?

Inradius of Hexadecagon given Perimeter calculator uses Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2) to calculate the Inradius of Hexadecagon, The Inradius of Hexadecagon given Perimeter formula is defined as a straight line connecting the in-center and any point on the circle that touches all sides of the Hexadecagon, calculated using the perimeter. Inradius of Hexadecagon is denoted by r_i symbol.

How to calculate Inradius of Hexadecagon given Perimeter using this online calculator? To use this online calculator for Inradius of Hexadecagon given Perimeter, enter Perimeter of Hexadecagon (P) and hit the calculate button. Here is how the Inradius of Hexadecagon given Perimeter calculation can be explained with given input values -> 12.56835 = 80/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2).

FAQ

What is Inradius of Hexadecagon given Perimeter?

The Inradius of Hexadecagon given Perimeter formula is defined as a straight line connecting the in-center and any point on the circle that touches all sides of the Hexadecagon, calculated using the perimeter and is represented as r_i = P/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2) or Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2). Perimeter of Hexadecagon is the total distance around the edge of the Hexadecagon.

How to calculate Inradius of Hexadecagon given Perimeter?

The Inradius of Hexadecagon given Perimeter formula is defined as a straight line connecting the in-center and any point on the circle that touches all sides of the Hexadecagon, calculated using the perimeter is calculated using Inradius of Hexadecagon = Perimeter of Hexadecagon/16*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2). To calculate Inradius of Hexadecagon given Perimeter, you need Perimeter of Hexadecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Inradius of Hexadecagon?

In this formula, Inradius of Hexadecagon uses Perimeter of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon
Inradius of Hexadecagon = Diagonal across Seven Sides of Hexadecagon/2
Inradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon*sin(pi/16)*((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)

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