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Sum of interior angles of Hendecagon given exterior angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle)
SOI = (180*(pi/180)*11)- (AngleExterior)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Exterior Angle - Exterior Angle is the angle between one side of the polygon and the line extending from the next side of the polygon. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Exterior Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SOI = (180*(pi/180)*11)- (AngleExterior) --> (180*(pi/180)*11)- (1.0471975511964)
Evaluating ... ...
SOI = 33.5103216382913
STEP 3: Convert Result to Output's Unit
33.5103216382913 Radian -->1920.00000000037 Degree (Check conversion here)
FINAL ANSWER
1920.00000000037 Degree <-- Sum of the interior angles of regular polygon
(Calculation completed in 00.016 seconds)

6 Angles of Hendecagon Calculators

Exterior angle of Hendecagon given sum of interior angles
exterior_angle = (180*pi/180)- (Sum of the interior angles of regular polygon/11) Go
Sum of interior angles of Hendecagon given exterior angle
sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle) Go
Interior angle of Hendecagon given exterior angle
interior_angle = (180*pi/180)- Exterior Angle Go
Exterior angle of Hendecagon given interior angle
exterior_angle = (180*pi/180)-Interior Angle Go
Interior angle of Hendecagon given sum of all interior angles
interior_angle = Sum of the interior angles of regular polygon/11 Go
Sum of interior angles of Hendecagon given interior angle
sum_of_the_interior_angles = 11*Interior Angle Go

Sum of interior angles of Hendecagon given exterior angle Formula

sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle)
SOI = (180*(pi/180)*11)- (AngleExterior)

What is hendecagon?

A hendecagon is an 11-sided polygon, also variously known as an undecagon or unidecagon. The term "hendecagon" is preferable to the other two since it uses the Greek prefix and suffix instead of mixing a Roman prefix and Greek suffix. A hendecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular hendecagon.

How to Calculate Sum of interior angles of Hendecagon given exterior angle?

Sum of interior angles of Hendecagon given exterior angle calculator uses sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle) to calculate the Sum of the interior angles of regular polygon, Sum of interior angles of hendecagon given exterior angle formula is defined as addition of angles that are formed by side of a rectilinear figure and an adjacent side extended outward. Sum of the interior angles of regular polygon and is denoted by SOI symbol.

How to calculate Sum of interior angles of Hendecagon given exterior angle using this online calculator? To use this online calculator for Sum of interior angles of Hendecagon given exterior angle, enter Exterior Angle (AngleExterior) and hit the calculate button. Here is how the Sum of interior angles of Hendecagon given exterior angle calculation can be explained with given input values -> 1920 = (180*(pi/180)*11)- (1.0471975511964).

FAQ

What is Sum of interior angles of Hendecagon given exterior angle?
Sum of interior angles of hendecagon given exterior angle formula is defined as addition of angles that are formed by side of a rectilinear figure and an adjacent side extended outward and is represented as SOI = (180*(pi/180)*11)- (AngleExterior) or sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle). Exterior Angle is the angle between one side of the polygon and the line extending from the next side of the polygon.
How to calculate Sum of interior angles of Hendecagon given exterior angle?
Sum of interior angles of hendecagon given exterior angle formula is defined as addition of angles that are formed by side of a rectilinear figure and an adjacent side extended outward is calculated using sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle). To calculate Sum of interior angles of Hendecagon given exterior angle, you need Exterior Angle (AngleExterior). With our tool, you need to enter the respective value for Exterior 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 the interior angles of regular polygon?
In this formula, Sum of the interior angles of regular polygon uses Exterior Angle. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • sum_of_the_interior_angles = (180*(pi/180)*11)- (Exterior Angle)
  • sum_of_the_interior_angles = 11*Interior Angle
  • interior_angle = Sum of the interior angles of regular polygon/11
  • interior_angle = (180*pi/180)- Exterior Angle
  • exterior_angle = (180*pi/180)- (Sum of the interior angles of regular polygon/11)
  • exterior_angle = (180*pi/180)-Interior Angle
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