Side of Hexadecagon given Circumradius Calculator

✖Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.ⓘ Circumradius of Hexadecagon [r_c]

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

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Side of Hexadecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
S = r_c/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*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

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

S = r_c/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) --> 13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))

Evaluating ... ...

S = 5.07234837241933

STEP 3: Convert Result to Output's Unit

5.07234837241933 Meter --> No Conversion Required

FINAL ANSWER

5.07234837241933 ≈ 5.072348 Meter <-- Side of Hexadecagon

(Calculation completed in 00.004 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 Circumradius Formula

LaTeX Go

Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2))
S = r_c/(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 Side of Hexadecagon given Circumradius?

Side of Hexadecagon given Circumradius calculator uses Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) to calculate the Side of Hexadecagon, Side of Hexadecagon given Circumradius formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using circumradius. Side of Hexadecagon is denoted by S symbol.

How to calculate Side of Hexadecagon given Circumradius using this online calculator? To use this online calculator for Side of Hexadecagon given Circumradius, enter Circumradius of Hexadecagon (r_c) and hit the calculate button. Here is how the Side of Hexadecagon given Circumradius calculation can be explained with given input values -> 5.072348 = 13/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)).

FAQ

What is Side of Hexadecagon given Circumradius?

Side of Hexadecagon given Circumradius formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using circumradius and is represented as S = r_c/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)) or Side of Hexadecagon = 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 Side of Hexadecagon given Circumradius?

Side of Hexadecagon given Circumradius formula is defined as a straight line connecting two adjacent vertices of the Hexadecagon, calculated using circumradius is calculated using Side of Hexadecagon = Circumradius of Hexadecagon/(sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)). To calculate Side of Hexadecagon given Circumradius, you need Circumradius of Hexadecagon (r_c). 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 Side of Hexadecagon?

In this formula, Side of Hexadecagon uses Circumradius 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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