Area of Dodecagon given Circumradius Calculator

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

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

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Area of Dodecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Dodecagon = 3*Circumradius of Dodecagon^2
A = 3*r_c^2
This formula uses 2 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Circumradius of Dodecagon: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 3*r_c^2 --> 3*20^2

Evaluating ... ...

A = 1200

STEP 3: Convert Result to Output's Unit

1200 Square Meter --> No Conversion Required

FINAL ANSWER

1200 Square Meter <-- Area of Dodecagon

(Calculation completed in 00.004 seconds)

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< Area of Dodecagon Calculators

Area of Dodecagon given Diagonal across Four Sides

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^2

Area of Dodecagon given Diagonal across Two Sides

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2))^2

Area of Dodecagon given Diagonal across Three Sides

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1))^2

Area of Dodecagon given Diagonal across Five Sides

LaTeX Go Area of Dodecagon = 3*Diagonal Across Five Sides of Dodecagon^2/(2+sqrt(3))

< Area of Dodecagon Calculators

Area of Dodecagon given Height

LaTeX Go Area of Dodecagon = (3*Height of Dodecagon^2)/(2+sqrt(3))

Area of Dodecagon given Width

LaTeX Go Area of Dodecagon = 3*Width of Dodecagon^2/(2+sqrt(3))

Area of Dodecagon

LaTeX Go Area of Dodecagon = 3*(2+sqrt(3))*Side of Dodecagon^2

Area of Dodecagon given Circumradius

LaTeX Go Area of Dodecagon = 3*Circumradius of Dodecagon^2

Area of Dodecagon given Circumradius Formula

LaTeX Go

Area of Dodecagon = 3*Circumradius of Dodecagon^2
A = 3*r_c^2

What is Dodecagon?

A regular Dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Area of Dodecagon given Circumradius?

Area of Dodecagon given Circumradius calculator uses Area of Dodecagon = 3*Circumradius of Dodecagon^2 to calculate the Area of Dodecagon, Area of Dodecagon given Circumradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using circumradius. Area of Dodecagon is denoted by A symbol.

How to calculate Area of Dodecagon given Circumradius using this online calculator? To use this online calculator for Area of Dodecagon given Circumradius, enter Circumradius of Dodecagon (r_c) and hit the calculate button. Here is how the Area of Dodecagon given Circumradius calculation can be explained with given input values -> 1200 = 3*20^2.

FAQ

What is Area of Dodecagon given Circumradius?

Area of Dodecagon given Circumradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using circumradius and is represented as A = 3*r_c^2 or Area of Dodecagon = 3*Circumradius of Dodecagon^2. Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

How to calculate Area of Dodecagon given Circumradius?

Area of Dodecagon given Circumradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using circumradius is calculated using Area of Dodecagon = 3*Circumradius of Dodecagon^2. To calculate Area of Dodecagon given Circumradius, you need Circumradius of Dodecagon (r_c). With our tool, you need to enter the respective value for Circumradius of Dodecagon 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 Area of Dodecagon?

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

Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2))^2
Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1))^2
Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^2

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