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Area of a Semicircle Calculator

Semicircle Area Formula:

\[ Area = \frac{\pi \times r^2}{2} \]

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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. It has a curved edge equal to half the circumference of the original circle and a straight edge (the diameter).

2. How Does the Calculator Work?

The calculator uses the semicircle area formula:

\[ Area = \frac{\pi \times r^2}{2} \]

Where:

Explanation: Since a semicircle is half of a circle, we take half of the circle's area formula (πr²).

3. Importance of Semicircle Area Calculation

Details: Calculating semicircle area is essential in architecture, engineering, and design where semicircular shapes are common (arches, windows, bridges).

4. Using the Calculator

Tips: Enter the radius of your semicircle. The radius must be a positive number. The calculator will automatically compute the area.

5. Frequently Asked Questions (FAQ)

Q1: Is the diameter needed to calculate semicircle area?
A: No, only the radius is needed. If you only have diameter, divide it by 2 to get radius.

Q2: What units should I use?
A: Use any consistent unit (meters, inches, feet). The area will be in square units of whatever you input.

Q3: Can I calculate semicircle perimeter with this?
A: No, this only calculates area. Perimeter requires adding half circumference plus diameter.

Q4: How accurate is the calculation?
A: It's mathematically exact, assuming perfect semicircle shape and precise radius measurement.

Q5: What if my shape isn't a perfect semicircle?
A: This formula won't apply. You'd need approximation methods for irregular shapes.

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