1. What is a Regular Pentagon Angle?

A regular pentagon is a five-sided polygon with equal sides and equal angles. The interior angle of a regular pentagon is 108°.

2. How Does the Calculator Work?

The calculator uses the interior angle formula for regular polygons:

Where:

• \( n \) — Number of sides (5 for pentagon)
• 180° — Sum of angles in a triangle

Explanation: The formula calculates the measure of each interior angle in a regular polygon with n sides.

3. Importance of Interior Angles

Details: Knowing interior angles is essential in geometry, architecture, and design. For a pentagon, the 108° angle is used in various applications including tiling patterns and structural designs.

4. Using the Calculator

Tips: Enter the number of sides (5 for pentagon) to calculate the interior angle. The default value is 5 (pentagon).

5. Frequently Asked Questions (FAQ)

Q1: What is the interior angle of a regular pentagon?
A: The interior angle of a regular pentagon is 108°.

Q2: How do you calculate exterior angles?
A: The exterior angle of a regular pentagon is 72° (360°/5).

Q3: What is the sum of all interior angles?
A: For a pentagon, the sum is 540° ((5-2)×180°).

Q4: Does this work for irregular pentagons?
A: No, this calculator is for regular polygons where all sides and angles are equal.

Q5: What are some real-world pentagon examples?
A: The Pentagon building in Washington D.C., home plates in baseball, and many organic molecules.