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Area of Dodecagon given diagonal across five sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2)
A = (3*(2+sqrt(3)))*((d5/(2+sqrt(3)))^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Diagonal across five sides - Diagonal across five sides is a straight line joining two opposite sides which is across five sides of the given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal across five sides: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3*(2+sqrt(3)))*((d5/(2+sqrt(3)))^2) --> (3*(2+sqrt(3)))*((11/(2+sqrt(3)))^2)
Evaluating ... ...
A = 97.2655568524976
STEP 3: Convert Result to Output's Unit
97.2655568524976 Square Meter --> No Conversion Required
FINAL ANSWER
97.2655568524976 Square Meter <-- Area
(Calculation completed in 00.000 seconds)

8 Area and Angles of Dodecagon Calculators

Area of Dodecagon given diagonal across four sides
area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2) Go
Area of Dodecagon given diagonal across two sides
area = (3*(2+sqrt(3)))*((Diagonal across two sides/((sqrt(2)+sqrt(6))/2))^2) Go
Area of Dodecagon given diagonal across six sides
area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2) Go
Area of Dodecagon given diagonal across three sides
area = (3*(2+sqrt(3)))*((Diagonal across three sides/(1+sqrt(3)))^2) Go
Area of Dodecagon given diagonal across five sides
area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2) Go
Area of Dodecagon given side
area = 3*(2+sqrt(3))*(Side A)^2 Go
Sum of interior angles of Dodecagon
sum_of_angles = 12*Interior Angle Go
Interior angle of Dodecagon
interior_angle = Sum of Angles/12 Go

Area of Dodecagon given diagonal across five sides Formula

area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2)
A = (3*(2+sqrt(3)))*((d5/(2+sqrt(3)))^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 diagonal across five sides?

Area of Dodecagon given diagonal across five sides calculator uses area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2) to calculate the Area, Area of Dodecagon given diagonal across five sides formula is defined as amount or quantity of space occupied by dodecagon. Area and is denoted by A symbol.

How to calculate Area of Dodecagon given diagonal across five sides using this online calculator? To use this online calculator for Area of Dodecagon given diagonal across five sides, enter Diagonal across five sides (d5) and hit the calculate button. Here is how the Area of Dodecagon given diagonal across five sides calculation can be explained with given input values -> 97.26556 = (3*(2+sqrt(3)))*((11/(2+sqrt(3)))^2).

FAQ

What is Area of Dodecagon given diagonal across five sides?
Area of Dodecagon given diagonal across five sides formula is defined as amount or quantity of space occupied by dodecagon and is represented as A = (3*(2+sqrt(3)))*((d5/(2+sqrt(3)))^2) or area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2). Diagonal across five sides is a straight line joining two opposite sides which is across five sides of the given polygon.
How to calculate Area of Dodecagon given diagonal across five sides?
Area of Dodecagon given diagonal across five sides formula is defined as amount or quantity of space occupied by dodecagon is calculated using area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2). To calculate Area of Dodecagon given diagonal across five sides, you need Diagonal across five sides (d5). With our tool, you need to enter the respective value for Diagonal across five sides 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?
In this formula, Area uses Diagonal across five sides. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • area = (3*(2+sqrt(3)))*((Diagonal across two sides/((sqrt(2)+sqrt(6))/2))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across three sides/(1+sqrt(3)))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across four sides/(((3*sqrt(2))+sqrt(6))/2))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across five sides/(2+sqrt(3)))^2)
  • area = (3*(2+sqrt(3)))*((Diagonal across six sides/(sqrt(6)+sqrt(2)))^2)
  • area = 3*(2+sqrt(3))*(Side A)^2
  • sum_of_angles = 12*Interior Angle
  • interior_angle = Sum of Angles/12
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