Inradius of Dodecagon given Area Calculator

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

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✖Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.ⓘ Inradius of Dodecagon given Area [r_i]

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Inradius of Dodecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Dodecagon = 1/2*sqrt((Area of Dodecagon*(2+sqrt(3)))/3)
r_i = 1/2*sqrt((A*(2+sqrt(3)))/3)
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

Inradius of Dodecagon - (Measured in Meter) - Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.
Area of Dodecagon - (Measured in Square Meter) - Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Dodecagon: 1120 Square Meter --> 1120 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 1/2*sqrt((A*(2+sqrt(3)))/3) --> 1/2*sqrt((1120*(2+sqrt(3)))/3)

Evaluating ... ...

r_i = 18.663460076839

STEP 3: Convert Result to Output's Unit

18.663460076839 Meter --> No Conversion Required

FINAL ANSWER

18.663460076839 ≈ 18.66346 Meter <-- Inradius of Dodecagon

(Calculation completed in 00.004 seconds)

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< Inradius of Dodecagon Calculators

Inradius of Dodecagon given Diagonal across Four Sides

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

Inradius of Dodecagon given Diagonal across Two Sides

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

Inradius of Dodecagon given Diagonal across Six Sides

LaTeX Go Inradius of Dodecagon = (2+sqrt(3))/2*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

Inradius of Dodecagon given Diagonal across Three Sides

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

Inradius of Dodecagon given Area Formula

LaTeX Go

Inradius of Dodecagon = 1/2*sqrt((Area of Dodecagon*(2+sqrt(3)))/3)
r_i = 1/2*sqrt((A*(2+sqrt(3)))/3)

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 Inradius of Dodecagon given Area?

Inradius of Dodecagon given Area calculator uses Inradius of Dodecagon = 1/2*sqrt((Area of Dodecagon*(2+sqrt(3)))/3) to calculate the Inradius of Dodecagon, The Inradius of Dodecagon given Area formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, calculated using area. Inradius of Dodecagon is denoted by r_i symbol.

How to calculate Inradius of Dodecagon given Area using this online calculator? To use this online calculator for Inradius of Dodecagon given Area, enter Area of Dodecagon (A) and hit the calculate button. Here is how the Inradius of Dodecagon given Area calculation can be explained with given input values -> 18.66346 = 1/2*sqrt((1120*(2+sqrt(3)))/3).

FAQ

What is Inradius of Dodecagon given Area?

The Inradius of Dodecagon given Area formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, calculated using area and is represented as r_i = 1/2*sqrt((A*(2+sqrt(3)))/3) or Inradius of Dodecagon = 1/2*sqrt((Area of Dodecagon*(2+sqrt(3)))/3). Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

How to calculate Inradius of Dodecagon given Area?

The Inradius of Dodecagon given Area formula is defined as the line connecting the incenter and any point on the incircle that touches all the edges of the Dodecagon, calculated using area is calculated using Inradius of Dodecagon = 1/2*sqrt((Area of Dodecagon*(2+sqrt(3)))/3). To calculate Inradius of Dodecagon given Area, you need Area of Dodecagon (A). With our tool, you need to enter the respective value for Area 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 Inradius of Dodecagon?

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

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

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