Class 8 Exam > Class 8 Videos > Mathematics Class 8- New NCERT (Ganita Prakash) > Properties of a Square
Properties of a Square Video Lecture | Mathematics Class 8- New NCERT (Ganita Prakash)
FAQs on Properties of a Square Video Lecture - Mathematics Class 8- New NCERT (Ganita Prakash)
| 1. What are the defining properties of a square? |  |
Ans. A square is a special type of quadrilateral with the following defining properties:
1. All four sides are of equal length.
2. All four angles are right angles (90 degrees).
3. The diagonals are equal in length and bisect each other at right angles.
4. The diagonals also bisect the angles of the square, creating two equal angles at each vertex.
5. The area of a square can be calculated using the formula Area = side².
| 2. How do you calculate the perimeter of a square? | |
Ans. The perimeter of a square is calculated by adding the lengths of all four sides. Since all sides are equal, the formula for the perimeter (P) is given by P = 4 × side length. For example, if each side of the square is 5 units long, the perimeter would be P = 4 × 5 = 20 units.
| 3. What is the relationship between the area and the perimeter of a square? | |
Ans. The area and perimeter of a square are related but measure different properties. The area measures the space contained within the square and is calculated using the formula Area = side². The perimeter measures the total length around the square and is calculated using the formula Perimeter = 4 × side length. While both depend on the length of the sides, increasing the side length increases both the area and perimeter, but they do not have a constant ratio.
| 4. Can you explain how to find the length of the diagonal of a square? | |
Ans. The length of the diagonal (d) of a square can be found using the Pythagorean theorem. Since a square forms two right triangles when a diagonal is drawn, the formula is d = side × √2. For example, if the side of the square is 4 units, the diagonal would be d = 4 × √2, which is approximately 5.66 units.
| 5. What are some real-life examples of squares? | |
Ans. Squares can be found in various real-life contexts, including:
1. Tiles on a floor which are often square-shaped.
2. Windows and picture frames that are designed in a square shape.
3. Chessboards, where each square represents a specific cell for the game.
4. Square tables used in dining or office settings.
5. Various architectural designs that incorporate square shapes for aesthetic and functional purposes.
About this Video
Oct 02, 2025
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