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Circles

Circles. 9.6. Circle -. The set of infinite points equidistant from a center point. C. - Center. A. X. - Radius. - Segment or distance from center to circle. O. - Chord. - Segment that connects one point on circle to another . Y. - Diameter.

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Circles

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  1. Circles 9.6

  2. Circle - The set of infinite points equidistant from a center point. C - Center A X - Radius - Segment or distance from center to circle. O - Chord - Segment that connects one point on circle to another. Y - Diameter - Chord that passes through the center. M - Angle whose vertex is the center. - Central Angle

  3. 2(radius) = Diameter2r=d

  4. Circumference of a circle is the outside perimeter

  5. Circumference formulas

  6. What is Pi ( ) ?

  7. March 14

  8. Ratio of C:d Relationship Between Diameter and Circumference - Two easiest things to measure on a circle. Silver Dollar diameter Circumference 12.0 3.8 cm 12.0 cm 3.82 Compact Disc 37.7 12.0 cm 37.7 cm 12.0 Table Top 628.3 200 cm 628.3 cm 200

  9. Ratio of C:d 12.0 3.82 37.7 12.0 C d 628.3 200 Relationship Between Diameter and Circumference Silver Dollar Regardless of the size of the circle, the ratio of the circumference to the diameter remains constant. Compact Disc C d Table Top

  10. Circumference of a Circle C (d) (d) d Find the circumference of a circle with a diameter of 7 inches.

  11. Find the missing information. radius diameter Circumference 5 in. d = 2r 10 in. 4 m 8 m

  12. Making Circle Graphs • Central Angle- an angle whose vertex is in the center of the circle • There are 360 degrees in a circle • Use proportions to find the degree of each central angle

  13. Example: Find the measure of the central Angles • Swimming • Soccer

  14. Your turnFind the Central Angle of … • Track • Tennis

  15. Homework Page 472 (1-18) all • You may use a calculator but you need to still show work • Use 3.14 for pi • Round to three decimal places if need be

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