Class 5 Exam > Class 5 Notes > Mathematics for Class 5: NCERT > Poster: Area and its Boundary
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FAQs on Poster: Area and its Boundary - Mathematics for Class 5: NCERT
| 1. What is the definition of area and how is it calculated? |  |
Ans. Area is the measure of the amount of space inside a two-dimensional shape. It is calculated differently depending on the shape: for rectangles, it is length multiplied by width (A = l × w); for triangles, it is half the base multiplied by the height (A = 1/2 × b × h); and for circles, it is π times the radius squared (A = πr²).
| 2. What is the significance of boundaries in geometry? | |
Ans. Boundaries in geometry are important as they define the limits of a shape or area. They help in determining the perimeter, which is the distance around the shape, and they also play a crucial role in identifying the properties of the shape, such as its dimensions and overall size.
| 3. How do you find the area of irregular shapes? | |
Ans. The area of irregular shapes can be found using various methods, such as dividing the shape into smaller regular shapes (like rectangles and triangles), calculating the area of these smaller shapes, and then summing them up. Alternatively, for more complex shapes, methods like the use of a grid or geometric approximation techniques can be applied.
| 4. What units are used to measure area? | |
Ans. Area is commonly measured in square units, which include square meters (m²), square centimeters (cm²), square kilometers (km²), square feet (ft²), and acres, among others. The choice of unit depends on the size of the area being measured.
| 5. Can you explain the relationship between area and perimeter? | |
Ans. Area and perimeter are both measurements related to two-dimensional shapes, but they describe different properties. Area measures the space inside a shape, while perimeter measures the distance around it. For example, a rectangle with a larger area may have a smaller perimeter than a more elongated rectangle, showing that the two measurements can vary independently of one another.
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