Circle Area Calculator

How to Calculate the Area of a Circle

Calculating the area of a circle is a fundamental skill in geometry. Here's a comprehensive guide on how to find the area of a circle:

Circle Area Formula

The formula for calculating the area of a circle is:

$$A = \pi r^2$$

Where:

• A is the area of the circle
• π (pi) is a mathematical constant approximately equal to 3.14159
• r is the radius of the circle

Calculation Steps

1. Identify the radius of the circle. If you have the diameter, divide it by 2 to get the radius.
2. Square the radius by multiplying it by itself.
3. Multiply the result by π (pi).
4. The result is the area of the circle.

Example Calculation

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

1. Radius \(r = 5\) units
2. Square the radius: \(r^2 = 5^2 = 25\)
3. Multiply by π: \(A = \pi \cdot 25 \approx 3.14159 \cdot 25 \approx 78.54\) square units

Visual Representation

This pie chart visually represents the area of a circle with a radius of 5 units. The entire pie represents the total area of approximately 78.54 square units.