Unit five lesson five, circumference and area of circles

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A circle is a geometric shape that represents the set of all points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles have various properties, including circumference and area.

The circumference of a circle is the distance around the outside of the circle. It can be found using the formula:

C = 2πr

Where:
- C is the circumference
- π (pi) is a constant approximately equal to 3.14159
- r is the radius of the circle

The area of a circle is the total space enclosed by the circle. It can be found using the formula:

A = πr^2

Where:
- A is the area
- π (pi) is a constant approximately equal to 3.14159
- r is the radius of the circle

It is important to note that the radius is always half the length of the diameter (the distance across the circle passing through the center). By knowing the radius or diameter of a circle, you can calculate its circumference and area using the formulas above.