Area of a Circle
The area of a circle is a measure of the total surface within the circle
The area of a circle is a measure of the total surface within the circle. It is calculated by using the formula:
Area = π * r^2
In this formula, π (pi) is a constant approximately equal to 3.14159, and r represents the radius of the circle.
The radius of a circle is the distance from the center of the circle to any point on its boundary. It is the most common value used to describe the size of a circle.
To calculate the area of a circle, follow these steps:
1. Measure the radius of the circle. If the radius is not given, it can be determined by measuring the distance from the center of the circle to any point on its boundary using a ruler or other measuring tool.
2. Square the value of the radius by multiplying it by itself. This step is represented by r^2 in the formula.
3. Multiply the squared radius by π. This will give you the area of the circle.
For example, let’s say the radius of a circle is 5 cm.
Using the formula, the area of the circle would be:
Area = π * 5^2 = π * 25 = 25π ≈ 78.54 cm^2
Therefore, the area of the circle is approximately 78.54 square centimeters.
It’s important to note that the units of the radius will determine the units of the area. In this example, since the radius was measured in centimeters, the area is given in square centimeters.
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