Finding the Area of a Circle: Mathematical Formula

To find the area of a circle, you can use the following mathematical formula:

Area = π × r²

Where:

• Area is the area of the circle.
• π (pi) is a mathematical constant approximately equal to 3.14159. You can also use the approximation 3.14 for most calculations.
• r is the radius of the circle, which is the distance from the center of the circle to any point on its circumference.

Here's how to use the formula to find the area of a circle:

1. Measure the Radius (r): Determine the length of the radius of the circle. Make sure the measurement is in the same units (e.g., inches, centimeters, meters) as you want the area to be in.

2. Square the Radius (r²): Multiply the radius by itself to find its square.

3. Multiply by π (pi): Multiply the squared radius by the value of π (approximately 3.14159 or 3.14).

4. Calculate the Area: The result of the multiplication in step 3 is the area of the circle. Make sure to include the appropriate units in your answer. The area will be in square units, such as square inches (in²), square centimeters (cm²), or square meters (m²), depending on your initial measurement units.

Here's an example:

Suppose you have a circle with a radius of 5 inches, and you want to find its area.

1. Measure the Radius: r = 5 inches.
2. Square the Radius: r² = 5 inches × 5 inches = 25 square inches.
3. Multiply by π: 25 square inches × π (or 3.14, as an approximation) ≈ 78.54 square inches.

So, the area of the circle is approximately 78.54 square inches.