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Circles

Circles. Advanced Geometry Circles Lesson 1. Definition – the locus of all points in a plane equidistant from a given point. A circle is named by its center point. Name:. Diameters, radii, and chords are all segments, lines, or rays. Examples:

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Circles

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  1. Circles Advanced Geometry Circles Lesson 1

  2. Definition – the locus of all points in a plane equidistant from a given point A circle is named by its center point. Name: Diameters, radii, and chords are all segments, lines, or rays.

  3. Examples: Identify each part of the circle below. Name the circle. Name a radius of the circle. Name a diameter of the circle Name a chord of the circle.

  4. Examples: Circle R has diameters . and If ST = 18, find QM. 18 If RN = 2, find QM. 4 If PR = 11, find RT. 11

  5. Example: The diameters of X, Y, and Z are 22 millimeters, 16 millimeters, and 10 millimeters, respectively. Find EZ.

  6. Examples: Find each measure to the nearest hundredth. Find C if r = 13 inches. Find C if d = 6 millimeters. Find d and r to the nearest hundredth if C = 65.4 feet.

  7. Examples: Find the exact circumference of K.

  8. Examples: Find the exact circumference of P. 9 ft 12 ft

  9. Example: RTS. is a diameter of T. Find m

  10. Central Angle Vertex is at the center Arc a piece of a circle

  11. Naming Arcs Minor Arc 2 endpoints and an arc symbol Major Arc 2 endpoints, 1 interior point, and an arc symbol

  12. Naming Arcs Semicircle 2 endpoints, 1 interior point, and an arc symbol

  13. Examples: In P, and are diameters, m KPM, NPM = 46, bisects and . Find each measure. = 90 = 67 = 316

  14. Example: The table below shows the percent of each type of bicycle sold in the United States in 2001. Find the measure of the central angle representing each category. 75.6º 133.2º 93.6º 32.4º 25.2º Describe the kind of arc associated with each category.

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