How to Calculate the Area of a Circle: Step-by-Step Guide with Formulas and Examples

Circle Area

To find the area of a circle, you can use the formula:
Area = π × radius^2

Here’s a step-by-step explanation of how to calculate the area of a circle:

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To find the area of a circle, you can use the formula:
Area = π × radius^2

Here’s a step-by-step explanation of how to calculate the area of a circle:

1. Identify the radius of the circle. The radius is the distance from the center of the circle to any point on its circumference. It is usually represented by the lowercase letter “r.”

2. Once you have the radius value, substitute it into the formula for the area of a circle.

3. Use the value of π (pi), which is approximately 3.14159. It is a mathematical constant that represents the ratio of the circumference of any circle to its diameter.

4. Square the radius by multiplying it by itself. For example, if the radius is 5 cm, then you would calculate 5^2, which equals 25.

5. Multiply the squared radius by π to get the area. Continuing the example, if the radius squared is 25 and π is approximately 3.14159, then 25 × 3.14159 = 78.53975.

6. Round the result to the desired precision. In this case, if you want the area to two decimal places, the rounded area would be 78.54 square centimeters.

So, the area of the circle is 78.54 square centimeters.

Remember to always include the correct units when expressing the area. In this case, since we used centimeters to measure the radius, the area is measured in square centimeters.

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