1. What is the Inradius of Pentagon?

The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon. It represents the distance from the center of the pentagon to any of its sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_i \) — Inradius of Pentagon (m)
• \( h \) — Height of Pentagon (m)
• \( r_c \) — Circumradius of Pentagon (m)

Explanation: This formula calculates the inradius by subtracting the circumradius from the height of the pentagon.

3. Importance of Inradius Calculation

Details: Calculating the inradius is important in geometry and engineering applications where the inscribed circle properties of a pentagon are needed for design and analysis purposes.

4. Using the Calculator

Tips: Enter the height and circumradius of the pentagon in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between inradius, height, and circumradius?
A: The inradius can be calculated by subtracting the circumradius from the height of the pentagon.

Q2: Can the inradius be negative?
A: No, the inradius should always be a positive value. If the calculation results in a negative number, check your input values.

Q3: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but you can use any consistent unit system as long as both inputs use the same units.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric relationship between these three parameters of a regular pentagon.

Q5: Does this formula work for irregular pentagons?
A: No, this formula is specifically for regular pentagons where all sides and angles are equal.