1. What is the Base Length of Polygram?

The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{Base} \) — Base Length of Polygram (m)
• \( l_e \) — Edge Length of Polygram (m)
• \( \angle_{Inner} \) — Inner Angle of Polygram (rad)

Explanation: This formula calculates the base length of a polygram using trigonometric relationships between the edge length and inner angle of the polygram.

3. Importance of Base Length Calculation

Details: Calculating the base length is essential for understanding the geometric properties of polygrams and for various applications in mathematics, engineering, and design where polygram shapes are used.

4. Using the Calculator

Tips: Enter the edge length in meters and the inner angle in radians. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a polygram?
A: A polygram is a star-shaped polygon formed by connecting non-adjacent vertices of a regular polygon.

Q2: Why is the inner angle measured in radians?
A: Radians are the standard unit for angular measurement in mathematical calculations involving trigonometric functions.

Q3: Can this calculator handle degrees instead of radians?
A: No, the calculator requires input in radians. You must convert degrees to radians first (radians = degrees × π/180).

Q4: What are typical values for edge length and inner angle?
A: Edge length depends on the specific polygram, while inner angles typically range from 0 to π radians (0-180 degrees).

Q5: Are there limitations to this formula?
A: This formula applies specifically to regular polygrams where all spikes are identical isosceles triangles.