1. What is the Perimeter of Semicircle?

The Perimeter of Semicircle is the total distance around the edge of the Semicircle. It includes the curved part (half the circumference of a full circle) plus the diameter.

2. How Does the Calculator Work?

The calculator uses the Perimeter of Semicircle formula:

Where:

• \( P \) — Perimeter of Semicircle (m)
• \( \pi \) — Archimedes' constant (approximately 3.14159)
• \( r \) — Radius of Semicircle (m)

Explanation: The formula combines half the circumference of a full circle (\( \pi r \)) plus 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 including architecture, engineering, and design where semicircular shapes are used.

4. Using the Calculator

Tips: Enter the radius of the semicircle in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: Why is the formula P = (π + 2) × r?
A: Because the perimeter includes half the circumference (πr) plus the diameter (2r), giving the total (π + 2)r.

Q2: What units should I use for the radius?
A: The calculator uses meters, but the formula works with any consistent unit of length.

Q3: Can I use this for other circular segments?
A: This formula is specific to semicircles (exactly half a circle). Other circular segments have different perimeter formulas.

Q4: How accurate is the calculation?
A: The calculation uses the precise value of π (up to 15 decimal places) for maximum accuracy.

Q5: What if my semicircle isn't a perfect half-circle?
A: This formula only applies to perfect semicircles. For irregular shapes, more complex calculations are needed.