I think it depends on the shape
they are all related to math
They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.
The perimeter of the base of a rectangular prism directly influences the lateral area, as the lateral area is calculated by multiplying the perimeter of the base by the height of the prism. Specifically, the lateral area ( A_L ) is given by ( A_L = P \times h ), where ( P ) is the perimeter of the base and ( h ) is the height. Therefore, a larger perimeter results in a larger lateral area, assuming the height remains constant. Conversely, for a fixed lateral area, changes in the perimeter would necessitate adjustments in the height.
Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
they are all related to math
Not if you are the score-keeper or if you are doing the area or the perimeter or the area of the field
Perimeter ratio is: is a path that surrounds an area and area ratio is: Area ratio is the cross sectional area of the nozzle exit divided by the cross sectional area of the nozzle throat.
They both use pi to determine their values
They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.
A cone is a 3-dimensional shape; the 3-dimensional equivalent of perimeter is area. See the related question for information on this.
It is area, not perimeter!
Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
area 63 and perimeter is 32
Perimeter and area are both fundamental concepts in geometry that describe different properties of shapes. The perimeter refers to the total distance around the outside of a shape, while the area measures the space contained within that shape. While they are related, increasing the perimeter of a shape does not necessarily increase its area, and vice versa; for example, a thin rectangle can have a large perimeter but a small area. Understanding both concepts helps in various applications, such as construction and land use planning.
Area : 44cm² Perimeter : 30cm