1. What is the Semicircle Perimeter Formula?

The semicircle perimeter formula calculates the total length around a semicircle, which consists of half the circumference of a full circle plus the diameter.

2. How Does the Calculator Work?

The calculator uses the semicircle perimeter formula:

Where:

• \( \pi \) — Mathematical constant (~3.14159)
• \( r \) — Radius of the semicircle (m)

Explanation: The first term (πr) calculates half the circumference of a full circle, while the second term (2r) adds the diameter length.

3. Importance of Perimeter Calculation

Details: Calculating semicircle perimeter is essential in various fields like architecture, engineering, and design where semicircular shapes are used.

4. Using the Calculator

Tips: Enter the radius in meters. The value must be positive (radius > 0).

5. Frequently Asked Questions (FAQ)

Q1: Is this the same as arc length?
A: No, arc length is just the curved part (πr). Perimeter includes both the arc and the diameter (πr + 2r).

Q2: What units should I use?
A: The calculator uses meters, but you can use any unit as long as you're consistent.

Q3: How accurate is the calculation?
A: The calculation uses π to high precision, so accuracy depends mainly on your radius measurement.

Q4: Can I use diameter instead of radius?
A: Yes, but you'll need to convert diameter (d) to radius (r = d/2) first.

Q5: Does this work for partial semicircles?
A: No, this formula is specifically for perfect semicircles (180° arcs).