Semicircle Perimeter Formula:
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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 engineering and architectural applications.
The calculator uses the semicircle perimeter formula:
Where:
Explanation: The formula calculates half the circumference of a full circle (πd/2) plus the diameter (d) to account for the straight edge of the semicircle.
Details: Calculating semicircle perimeter is essential in construction (arches, windows), manufacturing (half-pipe designs), and various engineering applications where semicircular shapes are used.
Tips: Enter the diameter in meters. The value must be positive. The calculator will compute the perimeter including both the curved and straight parts of the semicircle.
Q1: Is this the same as semicircle circumference?
A: No, circumference refers only to the curved part, while perimeter includes both the curved part and the diameter.
Q2: Can I use radius instead of diameter?
A: Yes, but you'd need to convert radius to diameter first (diameter = 2 × radius) or use the radius formula: Perimeter = πr + 2r.
Q3: 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.
Q4: How accurate is the calculation?
A: The calculation is mathematically exact, limited only by the precision of the Pi constant used in computation.
Q5: Does this work for partial semicircles?
A: No, this formula is specifically for perfect semicircles (180° arcs). Different formulas are needed for other arc angles.