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10.1 Circles and Circumference

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1 10.1 Circles and Circumference
By the end of class you will be able to identify parts of circles and calculate circumference.

2 Circle Vocabulary Circle: The locus of all points in a plane equidistant from a given point, known as the center point. Radius: A segment that has one endpoint on the circle, and the other endpoint the centerpoint. Chord: A segment whose endpoints are on the circle.

3 Circle Vocabulary Diameter: A chord that passes through the center of the circle Concentric Circles: Circles with the same centerpoint Inscribed/Circumscribed:

4 The diameters of circles X, Y and Z are 22, 16 and 10 respectively
The diameters of circles X, Y and Z are 22, 16 and 10 respectively. Find EZ and XF

5 Circumference A circle’s “perimeter” Formula:

6 Circumference Problems
Find the circumference of a circle (in terms of pi) with a radius of 13in. Find the circumference of a circle (to the nearest hundredth) with a diameter of 6mm. Find the diameter and radius of a circle that has a circumference of 65.4ft.

7 Circumference Problems
Find the exact circumference of the circle.

8 Circumference Problems
A bike tire has a radius of 24in. How far (in feet) will the bike tire travel in 1000 revolutions.


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