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Circumference and Area: Circles

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Presentation on theme: "Circumference and Area: Circles"— Presentation transcript:

1 Circumference and Area: Circles

2 Formulas C = πd or 2πr A = πr2

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

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

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

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

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8 The circumference is the distance around the circle.

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

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

11 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:

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

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

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

16 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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