 # Circles and Circumference. Vocabulary A circle is a plane figure that consists of a set of points that are equidistant from a given point called the center.

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Circles and Circumference

Vocabulary A circle is a plane figure that consists of a set of points that are equidistant from a given point called the center. The circumference of a circle is the distance around it.

Identifying the Parts of a Circle A radius is a line segment that connects the outside of the circle to its center.

A diameter is a line segment with both endpoints on the circle that passes through the center.

Numerical Relationships A radius is exactly one-half of a diameter. Therefore a diameter is twice a radius. 5.5 cm If the radius is 5.5 cm, then the diameter is ___________ cm. 11

Circumference Formulas C = π d C = 2π r

Circumference Remember, circumference is the distance around the circle. If you divide a circle’s circumference by its diameter, you always get the same irrational number – pi (symbol: π ) This is true of every circle. We estimate pi to be 3.14 or the fraction 22/7.

Example 41 m C = π d C = (3)(41) C = 123 m We substitute 3 in for pi.

Example 6in C = 2π r C = (2)(3)(6) C = 36 in We substitute 3 in for pi.

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