Interior Angle of Regular Polygon given Sum of Interior Angles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon
Interior = Sum∠Interior/NS
This formula uses 3 Variables
Variables Used
Interior Angle of Regular Polygon - (Measured in Radian) - The Interior Angle of Regular Polygon is the angle between adjacent sides of a polygon.
Sum of Interior Angles of Regular Polygon - (Measured in Radian) - The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon.
Number of Sides of Regular Polygon - The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.
STEP 1: Convert Input(s) to Base Unit
Sum of Interior Angles of Regular Polygon: 1080 Degree --> 18.8495559215352 Radian (Check conversion here)
Number of Sides of Regular Polygon: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Interior = Sum∠Interior/NS --> 18.8495559215352/8
Evaluating ... ...
Interior = 2.3561944901919
STEP 3: Convert Result to Output's Unit
2.3561944901919 Radian -->135 Degree (Check conversion here)
FINAL ANSWER
135 Degree <-- Interior Angle of Regular Polygon
(Calculation completed in 00.004 seconds)

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4 Angles of Regular Polygon Calculators

Interior Angle of Regular Polygon
Go Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon
Interior Angle of Regular Polygon given Sum of Interior Angles
Go Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon
Sum of Interior Angles of Regular Polygon
Go Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi
Exterior Angle of Regular Polygon
Go Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon

Interior Angle of Regular Polygon given Sum of Interior Angles Formula

Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon
Interior = Sum∠Interior/NS

What is Regular polygon?

A Regular Polygon has sides of equal length and equal angles between each side. A regular n-sided polygon has rotational symmetry of order n and it is also known as a cyclic polygon. All the vertices of a regular polygon lie on the circumscribed circle.

How to Calculate Interior Angle of Regular Polygon given Sum of Interior Angles?

Interior Angle of Regular Polygon given Sum of Interior Angles calculator uses Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon to calculate the Interior Angle of Regular Polygon, Interior Angle of Regular Polygon given Sum of Interior Angles formula is defined as the angle between adjacent sides of a polygon, calculated using sum of interior angles of Regular Polygon. Interior Angle of Regular Polygon is denoted by Interior symbol.

How to calculate Interior Angle of Regular Polygon given Sum of Interior Angles using this online calculator? To use this online calculator for Interior Angle of Regular Polygon given Sum of Interior Angles, enter Sum of Interior Angles of Regular Polygon (Sum∠Interior) & Number of Sides of Regular Polygon (NS) and hit the calculate button. Here is how the Interior Angle of Regular Polygon given Sum of Interior Angles calculation can be explained with given input values -> 7734.93 = 18.8495559215352/8.

FAQ

What is Interior Angle of Regular Polygon given Sum of Interior Angles?
Interior Angle of Regular Polygon given Sum of Interior Angles formula is defined as the angle between adjacent sides of a polygon, calculated using sum of interior angles of Regular Polygon and is represented as Interior = Sum∠Interior/NS or Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon. The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon & The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.
How to calculate Interior Angle of Regular Polygon given Sum of Interior Angles?
Interior Angle of Regular Polygon given Sum of Interior Angles formula is defined as the angle between adjacent sides of a polygon, calculated using sum of interior angles of Regular Polygon is calculated using Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon. To calculate Interior Angle of Regular Polygon given Sum of Interior Angles, you need Sum of Interior Angles of Regular Polygon (Sum∠Interior) & Number of Sides of Regular Polygon (NS). With our tool, you need to enter the respective value for Sum of Interior Angles of Regular Polygon & Number of Sides 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 of Regular Polygon?
In this formula, Interior Angle of Regular Polygon uses Sum of Interior Angles of Regular Polygon & Number of Sides of Regular Polygon. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon
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