Explain area of circle with help of a image

Here is a diagram that explains the area of a circle. The image shows the circle with its radius \( r \) and the formula \( A = \pi r^2 \), which calculates the area.

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Here are 8 related questions for further exploration:

1. How does the diameter relate to the radius and area of a circle?
2. What is the area of a circle with a radius of 5 units?
3. How does the area change if the radius of a circle is doubled?
4. Can the area formula \( A = \pi r^2 \) be derived from the circumference formula?
5. What is the difference between the area of a circle and the area of a square?
6. How is the area of a sector of a circle calculated?
7. What is the significance of the constant \( \pi \) in the area formula?
8. How do you calculate the area of an ellipse, which is a stretched circle?

**Tip:** When solving geometry problems, always keep track of the units used for measurements to avoid errors in calculations.

Understand how to calculate the area of a circle using diagrams and the formula A = πr^2. This explanation covers basic geometry concepts and is suitable for students in Grades 6-8.

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