1. What is Height of N-gon When N is Even?

The height of an N-gon when N is even refers to the perpendicular distance between two parallel sides of the regular polygon. For even-sided polygons, this height is equal to twice the inradius (the radius of the inscribed circle).

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( h \) — Height of the N-gon (m)
• \( r_i \) — Inradius of the N-gon (m)

Explanation: For regular polygons with an even number of sides, the height is exactly twice the inradius due to the symmetrical properties of these shapes.

3. Importance of Height Calculation

Details: Calculating the height of regular polygons is important in various geometric applications, architectural design, and engineering projects where precise dimensional relationships are required.

4. Using the Calculator

Tips: Enter the inradius value in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for all even-sided polygons?
A: Yes, this formula applies to all regular polygons with an even number of sides.

Q2: What is the relationship between height and inradius?
A: For even-sided regular polygons, the height is exactly twice the inradius due to the symmetrical properties.

Q3: Can this calculator be used for odd-sided polygons?
A: No, this specific formula only applies to regular polygons with an even number of sides.

Q4: What units should I use for the inradius?
A: The calculator uses meters, but you can use any consistent unit of length as the relationship is proportional.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular even-sided polygons, provided the input values are accurate.