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Interior Angle of Regular Polygon given Sum of Interior Angles Formula

GoInterior Angle of Regular Polygon Formula

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The Interior Angle of Regular Polygon is the angle between adjacent sides of a polygon. Check FAQs

∠ Interior = \frac{Sum∠ Interior}{N S}

∠_Interior - Interior Angle of Regular Polygon?Sum∠_Interior - Sum of Interior Angles of Regular Polygon?N_S - Number of Sides of Regular Polygon?

Interior Angle of Regular Polygon given Sum of Interior Angles Example

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Here is how the Interior Angle of Regular Polygon given Sum of Interior Angles equation looks like with Values.

Here is how the Interior Angle of Regular Polygon given Sum of Interior Angles equation looks like with Units.

Here is how the Interior Angle of Regular Polygon given Sum of Interior Angles equation looks like.

135 = \frac{1080}{8}

135° = \frac{1080°}{8}

135 = \frac{1080}{8}

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Interior Angle of Regular Polygon given Sum of Interior Angles Solution

Follow our step by step solution on how to calculate Interior Angle of Regular Polygon given Sum of Interior Angles?

FIRST Step Consider the formula

∠ Interior = \frac{Sum∠ Interior}{N S}

Next Step Substitute values of Variables

∴

∠ Interior = \frac{1080°}{8}

Next Step Convert Units

∴

∠ Interior = \frac{18.8496rad}{8}

Next Step Prepare to Evaluate

∴

∠ Interior = \frac{18.8496}{8}

Next Step Evaluate

∴

∠ Interior = 2.3561944901919rad

LAST Step Convert to Output's Unit

∴

∠ Interior = 135°

Interior Angle of Regular Polygon given Sum of Interior Angles Formula Elements

Variables

Interior Angle of Regular Polygon

The Interior Angle of Regular Polygon is the angle between adjacent sides of a polygon.

Symbol: ∠_Interior

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Interior Angle of Regular Polygon

Sum of Interior Angles of Regular Polygon

The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon.

Symbol: Sum∠_Interior

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Sum of Interior Angles of Regular 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.

Symbol: N_S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Sides of Regular Polygon

Other Formulas to find Interior Angle of Regular Polygon

Go Interior Angle of Regular Polygon

∠ Interior = \frac{(N S - 2) \cdot π}{N S}

Other formulas in Angles of Regular Polygon category

Go Exterior Angle of Regular Polygon

∠ Exterior = \frac{2 \cdot π}{N S}

Go Sum of Interior Angles of Regular Polygon

Sum∠ Interior = (N S - 2) \cdot π

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

Interior Angle of Regular Polygon given Sum of Interior Angles evaluator uses Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon to evaluate 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 evaluate Interior Angle of Regular Polygon given Sum of Interior Angles using this online evaluator? To use this online evaluator 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.

FAQs on Interior Angle of Regular Polygon given Sum of Interior Angles

What is the formula to find Interior Angle of Regular Polygon given Sum of Interior Angles?

The formula of Interior Angle of Regular Polygon given Sum of Interior Angles is expressed as Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon. Here is an example- 7734.93 = 18.8495559215352/8.

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

With Sum of Interior Angles of Regular Polygon (Sum∠_Interior) & Number of Sides of Regular Polygon (N_S) we can find Interior Angle of Regular Polygon given Sum of Interior Angles using the formula - Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon.

What are the other ways to Calculate Interior Angle of Regular Polygon?

Here are the different ways to Calculate Interior Angle of Regular Polygon-

Interior Angle of Regular Polygon=((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon

Can the Interior Angle of Regular Polygon given Sum of Interior Angles be negative?

No, the Interior Angle of Regular Polygon given Sum of Interior Angles, measured in Angle cannot be negative.

Which unit is used to measure Interior Angle of Regular Polygon given Sum of Interior Angles?

Interior Angle of Regular Polygon given Sum of Interior Angles is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Interior Angle of Regular Polygon given Sum of Interior Angles can be measured.

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