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How To Calculate A Semicircle

Semicircle Formula:

\[ \text{Perimeter} = \pi r + 2r \]

m

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1. What is a Semicircle?

A semicircle is half of a circle formed by cutting a whole circle along its diameter. The perimeter of a semicircle includes the half-circumference plus the diameter.

2. How Does the Calculator Work?

The calculator uses the semicircle perimeter formula:

\[ \text{Perimeter} = \pi r + 2r \]

Where:

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

3. Importance of Semicircle Calculation

Details: Calculating semicircle perimeters is essential in architecture, engineering, and design where semicircular shapes are common.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Is this the same as half the circumference?
A: No, the perimeter includes both the half-circumference (πr) and the diameter (2r).

Q2: What units should I use?
A: The calculator uses meters, but any consistent unit can be used as long as you maintain the same unit throughout.

Q3: Can I calculate area with this?
A: No, this calculates perimeter only. The area would be (πr²)/2.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact, using π to high precision.

Q5: What if I only know the diameter?
A: Divide the diameter by 2 to get the radius before using the calculator.

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