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Arc Length Of Semicircle Formula:
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The arc length of a semicircle is the distance along the curved part of the semicircle. It represents half the circumference of a full circle with the same radius.
The calculator uses the formula:
Where:
Explanation: Since a semicircle is exactly half of a full circle, its arc length is half of the full circle's circumference. The circumference of a full circle is \( 2\pi r \), so the arc length of a semicircle is \( \pi r \).
Details: Calculating arc length is essential in various fields including architecture, engineering, and geometry. It helps in determining the length of curved structures, designing circular components, and solving geometric problems involving circular arcs.
Tips: Enter the radius of the semicircle in meters. The value must be positive and greater than zero. The calculator will compute the arc length using the formula π × radius.
Q1: What is the difference between arc length and circumference?
A: Circumference refers to the total distance around a full circle, while arc length refers to the distance along a portion of the circle's circumference.
Q2: Can this calculator be used for arcs other than semicircles?
A: No, this specific calculator is designed only for semicircles (which are exactly half circles). For other arc lengths, different formulas are needed.
Q3: What units should I use for the radius?
A: You can use any unit of length (meters, centimeters, inches, etc.), but the arc length result will be in the same units as the radius input.
Q4: How accurate is the calculation?
A: The calculation uses the mathematical constant π with high precision, making the result very accurate for practical purposes.
Q5: What if I need the perimeter of a semicircle instead of just the arc length?
A: The perimeter of a semicircle includes both the curved arc and the diameter. You would need to add the diameter (2r) to the arc length (πr) to get the total perimeter.