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Semicircle Geometry — result sheet
Calculate the area, curved arc length, and full perimeter of a semicircle from its radius.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Area = 1/2 pi r^2; arc length = pi r; perimeter = pi r + 2r.
The semicircle area is half the area of a circle. Its curved boundary is half a circumference, and its full perimeter adds the straight diameter along the cut edge.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Radius — units; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Radius | 5 |
Area 39.269908; arc length 15.707963; perimeter 25.707963.
Assumptions and limits
- The radius is positive and describes a flat Euclidean semicircle.
- Perimeter includes both the curved arc and the straight diameter; arc length alone excludes the diameter.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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