Understanding the Area of a Circle
The area of a circle can be calculated using the formula:
Area = π × radius²
Where π (pi) is approximately 3.14.
Calculating Area for Different Radii
Let's calculate the area for the given radii:
1. For Radius = 10 cm
- To find the area:
- Radius = 10 cm
- Area = π × (10 cm)²
- Area = π × 100 cm²
- Area ≈ 3.14 × 100 cm²
- Area ≈ 314 cm²
2. For Radius = 14 cm
- To find the area:
- Radius = 14 cm
- Area = π × (14 cm)²
- Area = π × 196 cm²
- Area ≈ 3.14 × 196 cm²
- Area ≈ 615.44 cm²
Summary of Areas
- Area of circle with radius 10 cm:
- Approximately 314 cm²
- Area of circle with radius 14 cm:
- Approximately 615.44 cm²
Conclusion
Understanding how to calculate the area of a circle is essential in geometry. Always remember to square the radius and multiply by π to find the area. This knowledge is useful in various practical applications, such as determining the size of a circular garden or designing round objects.