Circumradius of Hexadecagon given Diagonal across Eight Sides Calculator

✖Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.ⓘ Diagonal across Eight Sides of Hexadecagon [d₈]

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✖Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.ⓘ Circumradius of Hexadecagon given Diagonal across Eight Sides [r_c]

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Circumradius of Hexadecagon given Diagonal across Eight Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2
r_c = d₈/2
This formula uses 2 Variables

Variables Used

Circumradius of Hexadecagon - (Measured in Meter) - Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.
Diagonal across Eight Sides of Hexadecagon - (Measured in Meter) - Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Eight Sides of Hexadecagon: 26 Meter --> 26 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = d₈/2 --> 26/2

Evaluating ... ...

r_c = 13

STEP 3: Convert Result to Output's Unit

13 Meter --> No Conversion Required

FINAL ANSWER

13 Meter <-- Circumradius of Hexadecagon

(Calculation completed in 00.020 seconds)

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< Circumradius of Hexadecagon Calculators

Circumradius of Hexadecagon given Diagonal across Seven Sides

LaTeX Go Circumradius of Hexadecagon = (Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

Circumradius of Hexadecagon given Diagonal across Six Sides

LaTeX Go Circumradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

Circumradius of Hexadecagon

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

Circumradius of Hexadecagon given Diagonal across Eight Sides

LaTeX Go Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2

Circumradius of Hexadecagon given Diagonal across Eight Sides Formula

LaTeX Go

Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2
r_c = d₈/2

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 Circumradius of Hexadecagon given Diagonal across Eight Sides?

Circumradius of Hexadecagon given Diagonal across Eight Sides calculator uses Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2 to calculate the Circumradius of Hexadecagon, The Circumradius of Hexadecagon given Diagonal across Eight Sides formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Hexadecagon, calculated using the diagonal across eight sides. Circumradius of Hexadecagon is denoted by r_c symbol.

How to calculate Circumradius of Hexadecagon given Diagonal across Eight Sides using this online calculator? To use this online calculator for Circumradius of Hexadecagon given Diagonal across Eight Sides, enter Diagonal across Eight Sides of Hexadecagon (d₈) and hit the calculate button. Here is how the Circumradius of Hexadecagon given Diagonal across Eight Sides calculation can be explained with given input values -> 13 = 26/2.

FAQ

What is Circumradius of Hexadecagon given Diagonal across Eight Sides?

The Circumradius of Hexadecagon given Diagonal across Eight Sides formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Hexadecagon, calculated using the diagonal across eight sides and is represented as r_c = d₈/2 or Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2. Diagonal across Eight Sides of Hexadecagon is the straight line joining two non-adjacent vertices across eight sides of Hexadecagon.

How to calculate Circumradius of Hexadecagon given Diagonal across Eight Sides?

The Circumradius of Hexadecagon given Diagonal across Eight Sides formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Hexadecagon, calculated using the diagonal across eight sides is calculated using Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2. To calculate Circumradius of Hexadecagon given Diagonal across Eight Sides, you need Diagonal across Eight Sides of Hexadecagon (d₈). With our tool, you need to enter the respective value for Diagonal across Eight Sides 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 Circumradius of Hexadecagon?

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

Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*Side of Hexadecagon
Circumradius of Hexadecagon = (Diagonal across Seven Sides of Hexadecagon*sin(pi/16))/sin((7*pi)/16)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)
Circumradius of Hexadecagon = (Diagonal across Six Sides of Hexadecagon*sin(pi/16))/sin((3*pi)/8)*sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)

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