Perimeter and area are two fundamental concepts in geometry. The perimeter is the distance around the outside of a two-dimensional shape, while the area is the amount of space inside the shape.
Perimeter
The perimeter of a shape is the total distance around its outer boundary. To find the perimeter of a shape, you simply add up the lengths of all its sides. For example, the perimeter of a square with side length "s" is given by:
Perimeter of a square = 4s
Similarly, the perimeter of a rectangle with length "l" and width "w" is given by:
Perimeter of a rectangle = 2(l + w)
The perimeter of a circle with radius "r" is given by:
Perimeter of a circle = 2Ï€r
Area
The area of a shape is the amount of space inside it. The area of a two-dimensional shape is usually measured in square units, such as square inches, square centimeters, or square meters.
The formulas for finding the area of some common two-dimensional shapes are as follows:
- Square: Area = s² (where "s" is the length of a side)
- Rectangle: Area = l × w (where "l" is the length and "w" is the width)
- Triangle: Area = ½ × b × h (where "b" is the base and "h" is the height)
- Circle: Area = Ï€r² (where "r" is the radius)
It's important to note that the formulas for area may vary depending on the shape and the units being used. In addition, some shapes may require more complex formulas to calculate their area, such as irregular polygons or shapes with curved edges.
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