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Properties of Circles. A circle is the set of all points in a plane that are the same distance from a given point, called the center of a circle. A circle.

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Presentation on theme: "Properties of Circles. A circle is the set of all points in a plane that are the same distance from a given point, called the center of a circle. A circle."— Presentation transcript:

1 Properties of Circles

2 A circle is the set of all points in a plane that are the same distance from a given point, called the center of a circle. A circle is named by its center. For example, if point A is the center of a circle, then the name of the circle is circle A. There are special names for the different parts of a circle.

3 Arc Part of a circle named by its endpoints Radius Line segment whose endpoints are the center of a circle and any point on the circle Diameter Line segment that passes through the center of a circle, and whose endpoints lie on the circle Chord Line segment whose endpoints are any two points on a circle

4 Name the parts of circle M. O N P Q R M A. radii: B. diameters: C. chords: MN, MR, MQ, MO NR, QO NR, QO, QN, NP Radii is the plural form of radius. Reading Math

5 Name the parts of circle M. A. radii: B. diameters: C. chords: GB, GA, GF, GD BF, AD A B C D E F G H AH, AB, CE, BF, AD

6 ) Central angle Sector A central angle of a circle is an angle formed by two radii. A sector of a circle is the part of the circle enclosed by two radii and an arc connecting them. The sum of the measures of all of the central angles in a circle is 360°. We say that there are 360° in a circle.

7 notes

8 Properties of Circles Date __________

9 ______ Part of a circle named by its endpoints _______ Line segment whose endpoints are the center of a circle and any point on the circle ___________ Line segment that passes through the center of a circle, and whose endpoints lie on the circle ________ Line segment whose endpoints are any two points on a circle

10 Name the parts of circle M. O N P Q R M A. radii: B. diameters: C. chords:

11 Name the parts of circle M. A. radii: B. diameters: C. chords: A B C D E F G H

12 ) Central angle Sector A central angle of a circle is an angle formed by two radii. A sector of a circle is the part of the circle enclosed by two radii and an arc connecting them. The sum of the measures of all of the central angles in a circle is _______.


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