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Interior angle of Dodecagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
interior_angle = Sum of Angles/12
AngleInterior = Sumangles/12
This formula uses 1 Variables
Variables Used
Sum of Angles - Sum of Angles is defined as a number that is the addition of all the given angles. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Sum of Angles: 360 Degree --> 6.28318530717841 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AngleInterior = Sumangles/12 --> 6.28318530717841/12
Evaluating ... ...
AngleInterior = 0.523598775598201
STEP 3: Convert Result to Output's Unit
0.523598775598201 Radian -->30 Degree (Check conversion here)
FINAL ANSWER
30 Degree <-- Interior Angle
(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

Interior angle of Dodecagon Formula

interior_angle = Sum of Angles/12
AngleInterior = Sumangles/12

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 Interior angle of Dodecagon?

Interior angle of Dodecagon calculator uses interior_angle = Sum of Angles/12 to calculate the Interior Angle, Interior angle of Dodecagon formula is defined as angle that is inward and made by two adjacent sides of dodecagon. Interior Angle and is denoted by AngleInterior symbol.

How to calculate Interior angle of Dodecagon using this online calculator? To use this online calculator for Interior angle of Dodecagon, enter Sum of Angles (Sumangles) and hit the calculate button. Here is how the Interior angle of Dodecagon calculation can be explained with given input values -> 30 = 6.28318530717841/12.

FAQ

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