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Sum of interior angles of Dodecagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
sum_of_angles = 12*Interior Angle
Sumangles = 12*AngleInterior
This formula uses 1 Variables
Variables Used
Interior Angle - Interior Angle is the angle between adjacent sides of a rectilinear figure. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Interior Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sumangles = 12*AngleInterior --> 12*1.0471975511964
Evaluating ... ...
Sumangles = 12.5663706143568
STEP 3: Convert Result to Output's Unit
12.5663706143568 Radian -->719.999999999999 Degree (Check conversion here)
FINAL ANSWER
719.999999999999 Degree <-- Sum of Angles
(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

Sum of interior angles of Dodecagon Formula

sum_of_angles = 12*Interior Angle
Sumangles = 12*AngleInterior

What are properties of dodecagon?

It has 12 interior angles. All the 12 sides of a regular dodecagon are of equal length. The vertices are equidistant from the center. A regular dodecagon is a 12-sided polygon that is symmetrical.

How to Calculate Sum of interior angles of Dodecagon?

Sum of interior angles of Dodecagon calculator uses sum_of_angles = 12*Interior Angle to calculate the Sum of Angles, Sum of interior angles of Dodecagon formula is defined as addition of all the angle that are inward and made by two adjacent sides of dodecagon. Sum of Angles and is denoted by Sumangles symbol.

How to calculate Sum of interior angles of Dodecagon using this online calculator? To use this online calculator for Sum of interior angles of Dodecagon, enter Interior Angle (AngleInterior) and hit the calculate button. Here is how the Sum of interior angles of Dodecagon calculation can be explained with given input values -> 720 = 12*1.0471975511964.

FAQ

What is Sum of interior angles of Dodecagon?
Sum of interior angles of Dodecagon formula is defined as addition of all the angle that are inward and made by two adjacent sides of dodecagon and is represented as Sumangles = 12*AngleInterior or sum_of_angles = 12*Interior Angle. Interior Angle is the angle between adjacent sides of a rectilinear figure.
How to calculate Sum of interior angles of Dodecagon?
Sum of interior angles of Dodecagon formula is defined as addition of all the angle that are inward and made by two adjacent sides of dodecagon is calculated using sum_of_angles = 12*Interior Angle. To calculate Sum of interior angles of Dodecagon, you need Interior Angle (AngleInterior). With our tool, you need to enter the respective value for Interior Angle 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 Sum of Angles?
In this formula, Sum of Angles uses Interior Angle. 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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