1. What is the Interior Angle Formula?

The interior angle formula calculates the measure of each interior angle in a regular polygon. It's derived from the fact that the sum of all interior angles in an n-sided polygon is (n-2) × 180 degrees.

2. How Does the Calculator Work?

The calculator uses the interior angle formula:

Where:

• \( I \) — Interior angle in degrees
• \( n \) — Number of sides of the polygon

Explanation: The formula divides the total sum of interior angles by the number of sides to find the measure of each equal angle in a regular polygon.

3. Importance of Interior Angle Calculation

Details: Calculating interior angles is essential in geometry, architecture, engineering, and design. It helps in constructing regular polygons and understanding their properties.

4. Using the Calculator

Tips: Enter the number of sides (must be 3 or greater) of the regular polygon. The calculator will compute the measure of each interior angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for irregular polygons?
A: No, this formula only works for regular polygons where all sides and angles are equal.

Q2: What is the minimum number of sides required?
A: The minimum number of sides is 3, which forms a triangle.

Q3: How do I calculate exterior angles?
A: The exterior angle of a regular polygon can be calculated as 360/n degrees.

Q4: What's the interior angle of a regular hexagon?
A: For a hexagon (n=6), the interior angle is (6-2)×180/6 = 120 degrees.

Q5: Can this formula be used for circles?
A: No, circles are not polygons and don't have sides or interior angles in the same sense.