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

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Side of Hexadecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Side of Hexadecagon - (Measured in Meter) - Side of Hexadecagon is a line segment forming part of the perimeter of a 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

S = (2*r_i)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))) --> (2*12)/(1+sqrt(2)+sqrt(2*(2+sqrt(2))))

Evaluating ... ...

S = 4.77389681711179

STEP 3: Convert Result to Output's Unit

4.77389681711179 Meter --> No Conversion Required

FINAL ANSWER

4.77389681711179 ≈ 4.773897 Meter <-- Side of Hexadecagon

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Side of Hexadecagon Calculators

Side of Hexadecagon given Diagonal across Three Sides

LaTeX Go Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)

Side of Hexadecagon given Diagonal across Two Sides

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

Side of Hexadecagon given Diagonal across Four Sides

LaTeX Go Side of Hexadecagon = sqrt(2)*Diagonal across Four Sides of Hexadecagon*sin(pi/16)

Side of Hexadecagon given Area

LaTeX Go Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

< Side of Hexadecagon Calculators

Side of Hexadecagon given Circumradius

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

Side of Hexadecagon given Height

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

Side of Hexadecagon given Area

LaTeX Go Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

Side of Hexadecagon given Perimeter

LaTeX Go Side of Hexadecagon = Perimeter of Hexadecagon/16

Side of Hexadecagon given Inradius Formula

LaTeX Go

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

Side of Hexadecagon given Inradius calculator uses Side of Hexadecagon = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))) to calculate the Side of Hexadecagon, Side of Hexadecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using inradius. Side of Hexadecagon is denoted by S symbol.

How to calculate Side of Hexadecagon given Inradius using this online calculator? To use this online calculator for Side of Hexadecagon given Inradius, enter Inradius of Hexadecagon (r_i) and hit the calculate button. Here is how the Side of Hexadecagon given Inradius calculation can be explained with given input values -> 4.773897 = (2*12)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))).

FAQ

What is Side of Hexadecagon given Inradius?

Side of Hexadecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using inradius and is represented as S = (2*r_i)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))) or Side of Hexadecagon = (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 Side of Hexadecagon given Inradius?

Side of Hexadecagon given Inradius formula is defined as the straight line connecting two adjacent vertices of the Hexadecagon, calculated using inradius is calculated using Side of Hexadecagon = (2*Inradius of Hexadecagon)/(1+sqrt(2)+sqrt(2*(2+sqrt(2)))). To calculate Side 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 Side of Hexadecagon?

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

Side of Hexadecagon = Diagonal across Two Sides of Hexadecagon*sin(pi/16)/sin(pi/8)
Side of Hexadecagon = Diagonal across Three Sides of Hexadecagon*sin(pi/16)/sin((3*pi)/16)
Side of Hexadecagon = sqrt((Area of Hexadecagon)/(4*cot(pi/16)))

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