Circumradius of Hexadecagon given Area Calculator

✖Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.ⓘ Area of Hexadecagon [A]

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

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Circumradius of Hexadecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((A)/(4*cot(pi/16)))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
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

Circumradius of Hexadecagon - (Measured in Meter) - Circumradius of Hexadecagon is the radius of a circumcircle touching each of the Hexadecagon's vertices.
Area of Hexadecagon - (Measured in Square Meter) - Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hexadecagon: 500 Square Meter --> 500 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((A)/(4*cot(pi/16))) --> sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((500)/(4*cot(pi/16)))

Evaluating ... ...

r_c = 12.7796858572324

STEP 3: Convert Result to Output's Unit

12.7796858572324 Meter --> No Conversion Required

FINAL ANSWER

12.7796858572324 ≈ 12.77969 Meter <-- Circumradius of Hexadecagon

(Calculation completed in 00.004 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 Area Formula

LaTeX Go

Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16)))
r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((A)/(4*cot(pi/16)))

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 Circumradius of Hexadecagon given Area?

Circumradius of Hexadecagon given Area calculator uses Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16))) to calculate the Circumradius of Hexadecagon, The Circumradius of Hexadecagon given Area formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using area. Circumradius of Hexadecagon is denoted by r_c symbol.

How to calculate Circumradius of Hexadecagon given Area using this online calculator? To use this online calculator for Circumradius of Hexadecagon given Area, enter Area of Hexadecagon (A) and hit the calculate button. Here is how the Circumradius of Hexadecagon given Area calculation can be explained with given input values -> 12.77969 = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((500)/(4*cot(pi/16))).

FAQ

What is Circumradius of Hexadecagon given Area?

The Circumradius of Hexadecagon given Area formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using area and is represented as r_c = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((A)/(4*cot(pi/16))) or Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16))). Area of Hexadecagon is the amount of 2-dimensional space occupied by the Hexadecagon.

How to calculate Circumradius of Hexadecagon given Area?

The Circumradius of Hexadecagon given Area formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all the vertices of Hexadecagon, calculated using area is calculated using Circumradius of Hexadecagon = sqrt((4+(2*sqrt(2))+sqrt(20+(14*sqrt(2))))/2)*sqrt((Area of Hexadecagon)/(4*cot(pi/16))). To calculate Circumradius of Hexadecagon given Area, you need Area of Hexadecagon (A). With our tool, you need to enter the respective value for Area 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 Area of Hexadecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Hexadecagon = Diagonal across Eight Sides of Hexadecagon/2
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)

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