How to calculate the exact perimeter of shapes containing circular arcs
In short: Master the geometry of curved figures by learning to calculate perimeter in terms of pi. This video demonstrates how to use central angles to determine the length of arcs within composite shapes.
When a shape is composed of multiple circular segments, finding the total perimeter requires breaking down the boundary into individual arc lengths. By analyzing the central angle associated with each arc, you can precisely calculate its contribution to the overall perimeter.
The method emphasizes expressing the final result in terms of pi, ensuring mathematical exactness rather than relying on decimal approximations. This approach is a fundamental skill for understanding the geometry of non-polygonal figures.
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Sources
- Summary by Intellect · source: Finding perimeter of shape with arcs | Geometry (TX TEKS) | Khan Academy
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