It is a metric notion that assigns a measure of extension to a surface. It is a concept that requires the specification of a measure of length. The area for flat surfaces is a much more intuitive concept. For any type of flat surface, it is enough to divide its surface into triangles, calculate the area of these and add them to obtain the value of its area. It should not be confused with the term surface, this is a geometric concept while the area is related to the metric magnitude associated with this concept.
Differential geometry methods are used to calculate the area of curved surfaces. The origin of the concept of area dates back to antiquity, when in ancient Egypt the floods of the Nile River flooded the fields. With the calculation of the area, it was possible to know exactly the size of the parcels in order to reestablish their limits.
Basically it is the sum of the lengths of the sides that form a geometric figure. It is the distance around a two-dimensional figure or the measurement of the distance or length of a boundary. In geometry, the perimeter is the sum of the lengths of the sides of a plane geometric figure.
Differences between area and perimeter
- The perimeter and the area are fundamental geometric magnitudes to determine the values that make up a polygon or geometric figure.
- The area defines the inner surface of a geometric body or a perimeter.
- The perimeter defines the total length of the sum of the sides that make up a geometric figure, a surface or an area.