1. What is the Interior Angle Sum Formula?

The Interior Angle Sum Formula calculates the total sum of all interior angles in a polygon with n sides. This formula works for both regular and irregular polygons.

2. How Does the Calculator Work?

The calculator uses the Interior Angle Sum Formula:

Where:

• \( n \) — Number of sides in the polygon
• \( 180° \) — Degrees in a straight angle

Explanation: The formula works because any polygon can be divided into (n-2) triangles, and each triangle has angles that sum to 180°.

3. Importance of Angle Calculation

Details: Knowing the interior angle sum is essential for geometry problems, architectural design, and understanding polygon properties.

4. Using the Calculator

Tips: Enter the number of sides (must be 3 or greater). The calculator will compute the total sum of all interior angles.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for concave polygons?
A: Yes, the formula works for both convex and concave polygons.

Q2: How do I find individual angles in an irregular polygon?
A: This calculator gives the total sum. For individual angles in an irregular polygon, you would need additional information.

Q3: What's the minimum number of sides?
A: The smallest polygon is a triangle with 3 sides.

Q4: How does this differ from regular polygons?
A: In regular polygons, all angles are equal so you can divide the sum by n. This isn't true for irregular polygons.

Q5: Can this calculate exterior angles?
A: No, this calculates interior angles. Exterior angles always sum to 360° for any convex polygon.