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All questions of Shapes for Class 1 Exam

How is the total number of rectangles in a complex figure typically calculated?
  • a)
    By counting each edge
  • b)
    By adding up the base numbers of smaller rectangles
  • c)
    By measuring the perimeter
  • d)
    By dividing the area by the number of edges
Correct answer is option 'B'. Can you explain this answer?

Harsh mehra answered
Total Number of Rectangles in a Complex Figure
Calculating the total number of rectangles in a complex figure involves understanding how rectangles can be formed by combining smaller rectangles or grid sections within the figure. Here's a detailed explanation:
Understanding Rectangles in a Figure
- Rectangles are defined by their width and height.
- In a complex figure, these dimensions can often be derived from smaller rectangles that make up the overall shape.
Counting Method
- Identify Smaller Rectangles: Break down the complex figure into recognizable smaller rectangles.
- Base Numbers: Each smaller rectangle contributes to the total count. For example, if a figure includes 3 smaller rectangles, you start with a base count of 3.
Adding Up
- Combining Counts: Once you have the base count of smaller rectangles, you can add these counts together.
- Overlap Consideration: Ensure that overlapping rectangles are not double-counted, as they should only be considered once in the total.
Conclusion
- By adding up the base numbers of smaller rectangles, you can effectively determine the total number of rectangles in the complex figure.
- This method not only simplifies the counting process but also ensures accuracy by focusing on distinct rectangles rather than edges or perimeter measurements.
This systematic approach allows for a clear and organized calculation of rectangles within any complex figure, making option 'B' the correct answer in determining the total number of rectangles.

Which shape can be described as having no corners and all points on the boundary equidistant from the center?
  • a)
    Square
  • b)
    Oval
  • c)
    Triangle
  • d)
    Circle
Correct answer is option 'D'. Can you explain this answer?

Harsh mehra answered
Circle
Circle is the shape that can be described as having no corners and all points on the boundary equidistant from the center. Let's break down why a circle fits this description:

No Corners:
- Unlike a square, triangle, or oval, a circle does not have any corners or angles. It has a continuous curved boundary that smoothly connects all points on the perimeter.

All Points Equidistant:
- In a circle, every point on the boundary is the same distance away from the center. This property is what makes a circle a unique shape with perfect symmetry.

Properties of a Circle:
- A circle is defined as the set of all points in a plane that are a certain distance (radius) away from a fixed point (center).
- The distance from the center to any point on the boundary is always the same, making it a shape with radial symmetry.

Conclusion:
- In conclusion, a circle is the only shape that meets the criteria of having no corners and all points on the boundary equidistant from the center. Its unique properties make it a fundamental shape in geometry and mathematics.

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