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Understanding Exercise 12.2: Areas Related to Circles
In this exercise, students will explore the concept of areas related to circles through various geometrical problems. Below are the key points and questions that will help in understanding the exercise.

Key Concepts
- **Area of a Circle**: The area (A) of a circle is calculated using the formula:
- A = πr², where r is the radius of the circle.
- **Circumference of a Circle**: The circumference (C) is given by:
- C = 2πr.
- **Sector of a Circle**: A sector is a portion of a circle enclosed by two radii and the arc. The area of a sector can be calculated using:
- Area of Sector = (θ/360) × πr², where θ is the angle in degrees.

Sample Questions
1. **Finding Area of a Circle**:
- Calculate the area of a circle with a radius of 7 cm.
2. **Area of Sector**:
- If a sector has a radius of 5 cm and subtends an angle of 60 degrees, find the area of the sector.
3. **Comparative Area**:
- Compare the areas of two circles with radii of 3 cm and 6 cm. What do you observe?
4. **Real-life Applications**:
- Discuss how the area of a circle is used in real-life scenarios, such as determining the size of a pizza.

Conclusion
By solving these problems, students will gain a deeper understanding of the relationships between different parts of circles and their respective areas. This foundational knowledge is crucial for further studies in geometry and real-world applications.