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**Circumference and Area: Circles**

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Formulas C = πd or 2πr A = πr2

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Definitions: Circle- the set of all points in a plane that are the same distance from a given point, called the center.

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**The distance from the center to any point on the circle is called the radius.**

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**The length of the radius is equal to ½ the length of the diameter.**

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**The distance across the circle through its center is the diameter.**

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**The circumference is the distance around the circle.**

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**pi ( ): A number, 3.141592..., equal to (the circumference) / (the diameter) of any circle.**

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**For any circle with a diameter, d the circumference, C is found by using this formula**

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**Remember that, for any circle, the diameter is twice the radius or d = 2r.**

If we are told the radius instead of the diameter we use the formula:

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**The circumference of a circle is the product of pi and the diameter (or twice the radius).**

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**The area of a circle is the product of pi and the square of the radius.**

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**Arc- a curved line that is part of the circumference of a circle.**

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**Chord- a line segment within a circle that touches 2 points on the circle**

Diameter is a special chord that goes through the center.

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