Interior Angle of Regular Polygon given Sum of Interior Angles Calculator

✖The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon.ⓘ Sum of Interior Angles of Regular Polygon [Sum∠_Interior]			+10% -10%
✖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.ⓘ Number of Sides of Regular Polygon [N_S]			+10% -10%

✖The Interior Angle of Regular Polygon is the angle between adjacent sides of a polygon.ⓘ Interior Angle of Regular Polygon given Sum of Interior Angles [∠_Interior]

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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/N_S
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/N_S --> 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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< Angles of Regular Polygon Calculators

Interior Angle of Regular Polygon

LaTeX 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

LaTeX 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

LaTeX Go Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi

Exterior Angle of Regular Polygon

LaTeX 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

LaTeX Go

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

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 (N_S) 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/N_S 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 (N_S). 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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