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The area of a circle is the amount of space contained within the circumference of the circle. It is given by the formula:

Area = pi * r^2

where pi (approximately equal to 3.14) is the mathematical constant that represents the ratio of the circumference of a circle to its diameter, and r is the radius of the circle (the distance from the center of the circle to the edge).

For example, if the radius of a circle is 5 cm, its area is:

Area = pi * 5^2
= 3.14 * 25
= 78.5 cm^2