Calculating the Area of a Circle: Formula, Steps, and Example Calculation

Area of a Circle

To find the area of a circle, you need to know the value of the radius

To find the area of a circle, you need to know the value of the radius. The formula for calculating the area of a circle is:

A = πr²

Where:
A represents the area of the circle,
π (pi) is a mathematical constant that is approximately equal to 3.14159,
r is the radius of the circle.

To find the area, follow these steps:

1. Measure the radius of the circle. The radius is the distance from the center of the circle to any point along its edge.

2. Square the value of the radius. This means multiplying the radius by itself. So, if the radius is 4 units, you would perform 4 multiplied by 4, which equals 16.

3. Multiply the squared value of the radius by π. Depending on the level of precision required, you can use either the value 3.14 or use a more accurate approximation of π, such as 3.14159.

For example, let’s say the radius of the circle is 5 units. We can calculate the area as follows:

A = πr²
A = 3.14159 * (5 * 5)
A = 3.14159 * 25
A = 78.53975

Therefore, the area of a circle with a radius of 5 units is approximately 78.54 square units.

Remember to include the unit of measurement when expressing the area, such as square units (cm², m², etc.), as it represents the space enclosed by the circle.

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