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Semicircle Area Formula:
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The area of a semicircle is exactly half the area of a full circle with the same radius. The formula calculates the space enclosed within the curved boundary and the diameter of the semicircle.
The calculator uses the semicircle area formula:
Where:
Explanation: The formula takes half of the full circle area formula \( \pi r^2 \), resulting in \( \frac{\pi}{2} r^2 \).
Details: Calculating semicircle area is essential in various fields including architecture, engineering, and design where semicircular shapes are commonly used in structures, windows, arches, and decorative elements.
Tips: Enter the radius value in meters. The radius must be a positive number greater than zero. The calculator will compute the area of the semicircle in square meters.
Q1: Why is the semicircle area half of the full circle area?
A: A semicircle is exactly half of a full circle, so its area is naturally half of the area of a full circle with the same radius.
Q2: Can I use this calculator for semicircles with different units?
A: Yes, but ensure all measurements use the same unit system. The result will be in square units of whatever unit you use for the radius.
Q3: What's the difference between a semicircle and a hemisphere?
A: A semicircle is a two-dimensional shape (half of a circle), while a hemisphere is a three-dimensional shape (half of a sphere).
Q4: How accurate is the pi constant used in calculations?
A: The calculator uses PHP's built-in M_PI constant which provides pi with approximately 14 decimal places of precision, sufficient for most practical applications.
Q5: Can this formula be used for semicircular arcs?
A: This formula calculates the area of a semicircular region, not the length of the semicircular arc. For arc length, a different formula is used.