__________ is the distance covered along the boundary forming a closed...
Perimeter
The perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once. It is the total length of all the sides of a closed figure.
A closed figure can be any shape with sides and vertices, such as a rectangle, square, triangle, or circle. The perimeter is calculated by adding all the lengths of the sides together.
Let's understand this concept with a few examples:
1. Rectangle:
A rectangle has four sides, and opposite sides are equal in length. Let's say the length of one side is 5 units and the length of the adjacent side is 10 units. To find the perimeter, we add all the sides together: 5 + 10 + 5 + 10 = 30 units.
2. Square:
A square is a special case of a rectangle where all sides are equal in length. Let's say the length of one side is 6 units. Since all sides are equal, the perimeter is calculated by multiplying the length of one side by 4: 6 + 6 + 6 + 6 = 24 units.
3. Triangle:
A triangle has three sides. Let's say the lengths of the three sides are 3 units, 4 units, and 5 units. To find the perimeter, we add all the sides together: 3 + 4 + 5 = 12 units.
4. Circle:
A circle is a closed figure with no straight sides. Instead, it has a curved boundary called the circumference. The perimeter of a circle is called its circumference. It is calculated using the formula C = 2πr, where r is the radius of the circle. For example, if the radius is 4 units, the circumference would be 2 * 3.14 * 4 = 25.12 units.
In conclusion, the perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once. It is calculated by adding the lengths of all the sides of the closed figure together.
__________ is the distance covered along the boundary forming a closed...
Perimeter
The perimeter is the distance covered along the boundary forming a closed figure when you go round the figure once. It is the sum of all the lengths of the sides of the figure.
Explanation:
- When we measure the perimeter of a figure, we are essentially measuring the distance around the figure.
- Perimeter is a one-dimensional measurement, as it only considers the lengths of the sides of the figure.
- It is important to note that the perimeter is dependent on the shape and size of the figure. Different figures will have different perimeters even if they have the same area.
- To calculate the perimeter of a figure, we add up the lengths of all the sides. For example, in the case of a rectangle, we add the lengths of all four sides.
- The perimeter is commonly used in real-life applications such as measuring the length of a fence, determining the amount of material needed for the boundary of a garden, or calculating the distance around a track.
In conclusion, the distance covered along the boundary forming a closed figure when you go round the figure once is known as the perimeter. It is an important concept in geometry and is used to measure the length or distance around a figure.