10 6 CIRCLES AND ARCS Brett Solberg AHS

10. 6 CIRCLES AND ARCS Brett Solberg AHS ‘ 11 -’ 12

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

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

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

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

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

Circle Vocabulary

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

Congruent Circles • circles with the same radius

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

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

Semicircle • half circle • arc of 180˚

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

Pie Charts

Percentages to Degrees 31% 33% 32% 4%

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

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

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

Arc Length •

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

Assignment • 10. 6 Worksheet • Chapters 1 - 10 Cumulative Review • Due on day of test