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A circle is named by its center.

9.3 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 . This distance is called the radius of the circle. A circle is named by its center. A. Radius GA Circle G. G. Diameter. Arc

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A circle is named by its center.

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  1. 9.3 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. This distance is called the radius of the circle. A circle is named by its center. A Radius GA Circle G G

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

  3. MN, MR, MQ, MO NR, QO NR, QO, QN, NP Example 1: Identifying Parts of Circles Name the parts of circle M. N A. radii: O P B. diameters: M Q C. chords: R

  4. A central angle of a circle is an angle formed by two radii. A sectorof a circle is the part of the circle enclosed by two radii and an arc connecting them. Sector ) 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. Central angle

  5. Example 2: Find the Central Angle Find the central angle measure of the sector of a circle that represents the given percent of a whole. 1. 28% 2. 70% 28 x 100 360 70 x 100 360 = = X=252° 25x = 2520 25 25 X=100.8°

  6. Example 3: Find the Central Angle The circle graph shows the results of a survey to determine how people feel about keeping the penny in circulation. Find the central angle measure of the sector that shows the percent of people who are against keeping the penny. Uncertain 3% Make a proportion Against 32% 32 x 100 360 = 25x = 2880 25 25 For 65% X = 115.2°

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