**Hemicircle**
A hemicircle is a two-dimensional geometric shape that represents half of a circle, formed by dividing a circle along its diameter. It consists of a straight line segment (the diameter) and a curved arc that spans 180 degrees.
## Properties of a Hemicircle
The hemicircle has a diameter as its straight edge and a semicircular arc as its curved boundary. The area of a hemicircle is half that of a full circle, calculated as (frac{1}{2} pi r^2), where (r) is the radius. Its perimeter includes the diameter plus the length of the semicircular arc, given by (d + pi r), where (d = 2r).
## Applications and Occurrences
Hemicircles appear in various fields such as architecture, design, and mathematics. They are commonly used in arches, windows, and decorative elements due to their aesthetic and structural properties. In mathematics, hemicircles serve as fundamental shapes in geometry and trigonometry.
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**Meta Description:**
A hemicircle is half of a circle formed by dividing it along its diameter. It features a straight diameter and a semicircular arc, with applications in geometry and design.