semicírculos

Semicírculo is the Spanish word for semicircle. A semicircle is a one-dimensional locus of points that forms half of a circle. It is defined by a diameter and the arc connecting its endpoints. The arc can be either the shorter or the longer portion of the circle's circumference, depending on which half is considered. In Euclidean geometry, a semicircle is a planar shape.

The area of a semicircle is half the area of the full circle from which it is derived. If the radius of the circle is r, then the area of the full circle is πr². Consequently, the area of a semicircle is (1/2)πr². The perimeter of a semicircle consists of the arc length and the diameter. The arc length of a semicircle is half the circumference of the full circle, which is (1/2)(2πr) = πr. Therefore, the total perimeter of a semicircle is πr + 2r, or r(π + 2).

Semicircles appear in various contexts in mathematics and engineering. For instance, they are fundamental shapes in trigonometry when visualizing the unit circle. In architecture and design, semicircular arches are a common feature. The concept of a semicircle also extends to three-dimensional geometry, where a hemispherical surface represents half of a sphere.