1. What is the Perimeter of a Semicircle?

The perimeter of a semicircle is the total length around its boundary, which includes the half-circumference plus the diameter. It's different from a full circle's circumference.

2. How Does the Calculator Work?

The calculator uses the semicircle perimeter formula:

Where:

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

Explanation: The formula combines half the circumference of a full circle (πr) with the diameter (2r) to get the total perimeter.

3. Importance of Perimeter Calculation

Details: Calculating the perimeter of a semicircle is important 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. The calculator will compute the perimeter by adding the half-circumference and the diameter.

5. Frequently Asked Questions (FAQ)

Q1: Why isn't the perimeter just half the circumference?
A: Because a semicircle includes both the curved part (half circumference) and the straight diameter.

Q2: What's the difference between circumference and perimeter?
A: For a full circle, they're the same. For a semicircle, perimeter includes both the curved and straight parts.

Q3: Can I use diameter instead of radius?
A: Yes, but you would need to modify the formula to use diameter (d) instead: Perimeter = (πd/2 + d).

Q4: Does this work for other fractions of a circle?
A: No, this specific formula is only for semicircles (half circles). Other fractions require different formulas.

Q5: What are practical applications of this calculation?
A: Useful in construction (arches, domes), manufacturing (semicircular parts), and landscape design (semicircular paths or pools).