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Interior Angles Of Polygon Calculator

'Interior Angles Of Polygon Calculator' is an online tool that helps to calculate the interior angles of each side of polygon.

What is Interior Angles Of Polygon Calculator?

Online Interior Angles Of Polygon Calculator helps you to calculate the interior angles of the polygon in a few seconds.

Interior Angles Of Polygon Calculator

NOTE: Please enter upto three digits only.

How to Use Interior Angles Of Polygon Calculator?

Please follow the below steps to find the interior angles of the polygon:

Step 1: Enter the number of sides of the polygon in the given input box.
Step 2: Click on the "Calculate" button to find the interior angles of the polygon
Step 3: Click on the "Reset" button to find the interior angles of the polygon for different values.

How to Find Interior Angles Of Polygon?

A polygon is defined as a two-dimensional figure, that comprises three or more straight lines. An interior angle is an angle measured between the two sides of a polygon. The interior angle at a vertex can be calculated by the following formula:

Interior angle at one vertex = ((n - 2) × 180^º) / n, where 'n' is the number of sides of a polygon

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Solved Examples on Interior Angles Of Polygon Calculator

Example 1:

Find the interior angle of a pentagon?

Solution:

Interior angle at one vertex = ((n - 2) × 180^º) / n

For pentagon, n = 5

= ((5 - 2) × 180^º) / 5

= (3 × 180^º) / 5

= 540 / 5

= 108^º

Therefore, Interior angle at one vertex is 108^º

Example 2:

Find the interior angle of a triangle?

Solution:

Interior angle at one vertex = ((n - 2) × 180^º) / n

For triangle, n = 3

= ((3 - 2) × 180^º) / 3

= (1 × 180^º) / 3

= 180 / 3

= 60^º

Therefore, Interior angle at one vertex is 60^º

Example 3:

Find the interior angle of an octagon?

Solution:

Interior angle at one vertex = ((n - 2) × 180^º) / n

For octagon, n = 8

= ((8 - 2) × 180^º) / 8

= (6 × 180^º) / 8

= 135^º

Therefore, Interior angle at one vertex is 135^º

Similarly, you can try the calculator to find interior angles of a polygon for

1) Octagon, n = 8 2) Hexagon, n = 6

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