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10.6 Circles and Arcs

10.6 Circles and Arcs. Brett Solberg AHS ‘11-’12. Today’s Schedule. 1 st 7:55 – 9:35 am ASSEMBLY 9:40 – 10:25 am Announcements 10:30 – 10:35 am 2 nd Period 10:35 – 11:35 am 1 st LUNCH 11:35 – 12:14 pm 3 RD PERIOD 12:20 – 1:20 pm

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10.6 Circles and Arcs

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  1. 10.6 Circles and Arcs Brett Solberg AHS ‘11-’12

  2. Today’s Schedule • 1st 7:55 – 9:35 am • ASSEMBLY 9:40 – 10:25 am Announcements 10:30 – 10:35 am • 2nd Period10:35 – 11:35 am • 1st LUNCH 11:35 – 12:14 pm • 3RD PERIOD 12:20 – 1:20 pm • 3RD PERIOD 11;45 – 12:45 pm • 2nd LUNCH 12:50– 1:20 pm • 4TH PERIOD 1:25 – 2:25 pm

  3. Todays Schedule • 7:55 – 8:05 HW Review • 8:05 – 8:30 Quiz • 8:35 – 9:05 10.6 Circles, arcs, and pie charts • 9:10 – 9:35 Cumulative Review/Video • 9:40 – 10:25 Assembly

  4. Warm-up • Get out your notes and review for a quiz • You will need to know how to: • find the area of a • parallelogram, triangle, trapezoid, rhombus, kite • fill in missing angles of a regular polygon • solve for the apothem, radius, and find area in a regular polygon • find ratios of area, ratios of perimeter, and similarity ratios • HW will be stamped during the quiz

  5. Today’s Agenda • Circles • Semicircles • Arcs • Minor • Major • Arc Length • Pie Charts • CRT

  6. Circles • Circle – set of all points equidistant from a point • called by center 2 feet 2 feet 2 feet 2 feet

  7. Circle Vocabulary

  8. Identify the Following • Radii • Diameter • Center • Central Angle • angle created by 2 radii

  9. Congruent Circles • circles with the same radius

  10. Central Angle • Angle whose vertex is the center of a circle

  11. Arc • Arc: portion of a circle • Arc Length: length of an arc

  12. Semicircle • half circle • arc of 180˚

  13. Arcs • Minor arc • arc less than 180˚ • Major Arc arc greater than 180˚

  14. Pie Charts

  15. Pie Charts

  16. Pie Charts

  17. Percentages to Degrees 31% 33% 32% 4%

  18. Example 1 • Identify the following in circle O: • a)minor arcs • b) major arcs • c) semicircles

  19. Arc-Addition Postulate • Adjacent Arcs = Arcs next to each other • The measure of an arc formed by 2 adjacent arcs is the sum of the two arcs. • Arc AB + Arc BC = Arc AC

  20. Example 1 • Find the measure of each arc • arc XY • arc DXM • arc XW • arc MWX • angle xcw

  21. Arc Length • The length of an arc is • circumference = 2πr • Arc AB =

  22. Example 5 • Find the arc length of ADB and AB in circle M. • Arc ADB • Arc AB

  23. Assignment • 10.6 Worksheet • Chapters 1- 10 Cumulative Review • Due on day of test

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