Inradius of Hexadecagon Calculator

✖Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.ⓘ Side of Hexadecagon [S]

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✖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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Inradius of Hexadecagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon
r_i = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S
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.
Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Side of Hexadecagon: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S --> ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*5

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 00.004 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

< Radius of Hexadecagon Calculators

Circumradius of Hexadecagon

LaTeX Go Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon

Inradius of Hexadecagon

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

Inradius of Hexadecagon given Height

LaTeX Go Inradius of Hexadecagon = Height of Hexadecagon/2

Inradius of Hexadecagon Formula

LaTeX Go

Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon
r_i = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S

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 Inradius of Hexadecagon?

Inradius of Hexadecagon calculator uses Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon to calculate the Inradius of Hexadecagon, Inradius of Hexadecagon formula is defined as a straight line connecting the incenter and any point on the circle that touches all sides of the Hexadecagon. Inradius of Hexadecagon is denoted by r_i symbol.

How to calculate Inradius of Hexadecagon using this online calculator? To use this online calculator for Inradius of Hexadecagon, enter Side of Hexadecagon (S) and hit the calculate button. Here is how the Inradius of Hexadecagon calculation can be explained with given input values -> 12.56835 = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*5.

FAQ

What is Inradius of Hexadecagon?

Inradius of Hexadecagon formula is defined as a straight line connecting the incenter and any point on the circle that touches all sides of the Hexadecagon and is represented as r_i = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*S or Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon. Side of Hexadecagon is a line segment forming part of the perimeter of a Hexadecagon.

How to calculate Inradius of Hexadecagon?

Inradius of Hexadecagon formula is defined as a straight line connecting the incenter and any point on the circle that touches all sides of the Hexadecagon is calculated using Inradius of Hexadecagon = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side of Hexadecagon. To calculate Inradius of Hexadecagon, you need Side of Hexadecagon (S). With our tool, you need to enter the respective value for Side 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 Side of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
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)

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