Calculating the Area of a Circle | Formula and Step-by-Step Example

area of a circle

The area of a circle is the amount of space enclosed within the circle’s boundaries

The area of a circle is the amount of space enclosed within the circle’s boundaries. It is defined as the number of square units that cover the shape, such as square centimeters (cm²) or square inches (in²). The formula to calculate the area of a circle is:

Area = π * r²

where:
– π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159, but it can be rounded to 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.

To find the area, you need to square the radius of the circle and multiply it by π. Here’s a step-by-step example:

Example:
Let’s say we have a circle with a radius of 5 cm. To find the area, we can use the formula:

Area = π * r²

Area = 3.14 * (5 cm)²
= 3.14 * (5 cm * 5 cm)
= 3.14 * 25 cm²
= 78.5 cm²

So, the area of the circle with a radius of 5 cm is 78.5 square centimeters.

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