Understanding the Circle's Measurements
When dealing with a circle, two fundamental measurements are crucial: the circumference and the area. For a circle with a radius of 14 cm and a diameter of 35 cm, let’s explore how to calculate these values.
1. Circumference of the Circle
The circumference of a circle is the total distance around the circle. It can be calculated using the formula:
- Circumference (C) = 2 × π × radius
Using the radius of 14 cm:
- C = 2 × π × 14 cm
- Taking π as approximately 3.14, we calculate:
- C ≈ 2 × 3.14 × 14
- C ≈ 87.92 cm
Thus, the circumference of the circle is approximately 87.92 cm.
2. Area of the Circle
The area of a circle measures the space contained within it. The formula for calculating the area is:
- Area (A) = π × radius²
Using the radius of 14 cm:
- A = π × (14 cm)²
- A ≈ 3.14 × 196
- A ≈ 615.44 cm²
Therefore, the area of the circle is approximately 615.44 cm².
Summary of Measurements
- Circumference: 87.92 cm
- Area: 615.44 cm²
These calculations provide a complete understanding of the circle’s dimensions based on the given radius and diameter.