About Circle Area Calculation

What is the Area of a Circle?

The area of a circle is the amount of space enclosed within its circumference. It represents the number of square units that can fit inside the circle.

Formula for Circle Area

The formula to calculate the area of a circle is:

\[A = \pi r^2\]

Where:

• \(A\) is the area of the circle
• \(\pi\) (pi) is approximately 3.14159
• \(r\) is the radius of the circle

Calculation Steps

1. Identify the radius of the circle.
2. Square the radius (multiply it by itself).
3. Multiply the result by \(\pi\).
4. The result is the area of the circle.

Example

Let's calculate the area of a circle with a radius of 5 units:

1. Given: Radius (\(r\)) = 5 units
2. Apply the formula: \(A = \pi r^2\)
3. Substitute the value: \(A = \pi \times 5^2\)
4. Calculate: \(A = \pi \times 25 \approx 78.54\) square units

Visual representation:

Therefore, the area of the circle is approximately 78.54 square units.