Perimeter:

The perimeter of a shape is the distance around its outer boundary. It is the total length of all the sides of a shape or figure. Perimeter is measured in units such as centimeters, meters, or feet.

Importance of Perimeter:

Perimeter is an important concept in geometry as it helps us calculate the distance around different shapes. It is used in various real-life situations such as measuring the length of a fence around a garden, determining the amount of material needed to enclose an area, or finding the length of a ribbon required to wrap around a gift box.

Formula for Perimeter:

The formula to calculate the perimeter of different shapes is as follows:

- For a rectangle: Perimeter = 2 × (Length + Width)
- For a square: Perimeter = 4 × Side Length
- For a triangle: Perimeter = Sum of lengths of all three sides
- For a circle: Perimeter = 2 × π × Radius

Examples:

Let's understand the concept of perimeter with a few examples:

1. Rectangle:
- Length = 5 cm
- Width = 3 cm
- Perimeter = 2 × (5 cm + 3 cm) = 2 × 8 cm = 16 cm

2. Square:
- Side length = 4 cm
- Perimeter = 4 × 4 cm = 16 cm

3. Triangle:
- Side 1 = 6 cm
- Side 2 = 8 cm
- Side 3 = 10 cm
- Perimeter = 6 cm + 8 cm + 10 cm = 24 cm

4. Circle:
- Radius = 7 cm
- Perimeter = 2 × 3.14 × 7 cm ≈ 44 cm

NCERT Solutions (Part - 2) - Mensuration:

Mensuration is a branch of mathematics that deals with the measurement of various geometric figures and their properties. It involves the study of different concepts such as area, perimeter, volume, surface area, etc.

In NCERT Solutions (Part - 2) - Mensuration, students are introduced to more advanced concepts of mensuration. They learn about the formulas and methods to calculate the perimeter, area, and volume of different shapes and solids.

The solutions provided in NCERT Solutions (Part - 2) - Mensuration help students understand the concepts better through step-by-step explanations and solved examples. They also include practice questions and exercises to reinforce the understanding of the topic.

NCERT Solutions (Part - 2) - Mensuration is designed to provide a comprehensive understanding of the subject and enable students to solve problems related to mensuration in a structured and logical manner. It is an important resource for Class 6 students to strengthen their mathematical skills and enhance their problem-solving abilities.