1. What is Semicircle Perimeter?

The perimeter of a semicircle is the total length around the semicircle, which includes both the half-circumference and the diameter. It's important in various geometry and engineering applications.

2. How Does the Calculator Work?

The calculator uses the semicircle perimeter formula:

Where:

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

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

3. Importance of Perimeter Calculation

Details: Calculating semicircle perimeter is essential in construction, architecture, and engineering for designing curved structures, arches, and semicircular components.

4. Using the Calculator

Tips: Enter the radius in meters. The value must be positive (radius > 0). The calculator will compute the perimeter including both the curved and straight parts.

5. Frequently Asked Questions (FAQ)

Q1: Why isn't the perimeter just half of a circle's circumference?
A: Because a semicircle includes both the half-circumference and the diameter (straight edge).

Q2: What units should I use?
A: The calculator uses meters, but you can use any unit as long as you're consistent (the result will be in the same unit).

Q3: How accurate is the calculation?
A: The calculation is mathematically precise, using π to 15 decimal places for maximum accuracy.

Q4: Can I calculate diameter from perimeter?
A: Yes, you can rearrange the formula: \( r = Perimeter / (\pi + 2) \), then diameter = 2r.

Q5: What's the difference between perimeter and area?
A: Perimeter measures the boundary length, while area measures the space enclosed by the semicircle.