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Interior angle of Hexadecagon given sum of interior angles Solution

STEP 0: Pre-Calculation Summary
Formula Used
interior_angle = Sum of the interior angles of regular polygon/16
AngleInterior = SOI/16
This formula uses 1 Variables
Variables Used
Sum of the interior angles of regular polygon - Sum of the interior angles of regular polygon is the sum of all the interior angles of a polygon. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Sum of the interior angles of regular polygon: 360 Degree --> 6.28318530717841 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AngleInterior = SOI/16 --> 6.28318530717841/16
Evaluating ... ...
AngleInterior = 0.392699081698651
STEP 3: Convert Result to Output's Unit
0.392699081698651 Radian -->22.5 Degree (Check conversion here)
FINAL ANSWER
22.5 Degree <-- Interior Angle
(Calculation completed in 00.000 seconds)

6 Angle and Radius of Hexadecagon Calculators

Circumradius of Hexadecagon given side
circumradius = (sqrt((4+(2*sqrt(2))+sqrt(20)+(14*sqrt(2)))/2))*Side Go
Inradius of Hexadecagon given side
inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side Go
Interior angle of Hexadecagon given sum of interior angles
interior_angle = Sum of the interior angles of regular polygon/16 Go
Sum of interior angles of Hexadecagon given one interior angle
sum_of_the_interior_angles = 16* Interior Angle Go
Circumradius of Hexadecagon given diagonal
circumradius = Diagonal/2 Go
Inradius of Hexadecagon given diagonal
inradius = Diagonal/2 Go

Interior angle of Hexadecagon given sum of interior angles Formula

interior_angle = Sum of the interior angles of regular polygon/16
AngleInterior = SOI/16

What is hexadecagon?

A regular hexadecagon is a hexadecagon in which all angles are equal and all sides are congruent. Its Schläfli symbol is {16} and can be constructed as a truncated octagon, t{8}, and a twice-truncated square tt{4}.

How to Calculate Interior angle of Hexadecagon given sum of interior angles?

Interior angle of Hexadecagon given sum of interior angles calculator uses interior_angle = Sum of the interior angles of regular polygon/16 to calculate the Interior Angle, The Interior angle of hexadecagon given sum of interior angles formula is defined as angle that is made by two sides of hexadecagon inward. Interior Angle and is denoted by AngleInterior symbol.

How to calculate Interior angle of Hexadecagon given sum of interior angles using this online calculator? To use this online calculator for Interior angle of Hexadecagon given sum of interior angles, enter Sum of the interior angles of regular polygon (SOI) and hit the calculate button. Here is how the Interior angle of Hexadecagon given sum of interior angles calculation can be explained with given input values -> 22.5 = 6.28318530717841/16 .

FAQ

What is Interior angle of Hexadecagon given sum of interior angles?
The Interior angle of hexadecagon given sum of interior angles formula is defined as angle that is made by two sides of hexadecagon inward and is represented as AngleInterior = SOI/16 or interior_angle = Sum of the interior angles of regular polygon/16 . Sum of the interior angles of regular polygon is the sum of all the interior angles of a polygon.
How to calculate Interior angle of Hexadecagon given sum of interior angles?
The Interior angle of hexadecagon given sum of interior angles formula is defined as angle that is made by two sides of hexadecagon inward is calculated using interior_angle = Sum of the interior angles of regular polygon/16 . To calculate Interior angle of Hexadecagon given sum of interior angles, you need Sum of the interior angles of regular polygon (SOI). With our tool, you need to enter the respective value for Sum of the interior angles of regular polygon 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 the interior angles of regular polygon. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • circumradius = (sqrt((4+(2*sqrt(2))+sqrt(20)+(14*sqrt(2)))/2))*Side
  • inradius = ((1+sqrt(2)+sqrt(2*(2+sqrt(2))))/2)*Side
  • circumradius = Diagonal/2
  • inradius = Diagonal/2
  • sum_of_the_interior_angles = 16* Interior Angle
  • interior_angle = Sum of the interior angles of regular polygon/16
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