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10-6 Answers…Questions?

10-6 Answers…Questions?. 19) 70 o 20) 180 o 21) 110 o 22) 55 o 23) 235 o 24) 290 o 25) c = 38 26) x = 40. 10 – 6 Part 2: Arc Length. Learning Goal: Calculate the circumference and arc length of a circle. Circumference of a Circle. Circumference is the distance around a circle

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10-6 Answers…Questions?

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  1. 10-6 Answers…Questions? 19) 70o 20) 180o 21) 110o 22) 55o 23) 235o 24) 290o 25) c = 38 26) x = 40

  2. 10 – 6 Part 2: Arc Length Learning Goal: Calculate the circumference and arc length of a circle

  3. Circumference of a Circle • Circumference is the distance around a circle • C = d or C = 2r • EX 1: A car has a circular turning radius of 16.1ft. The distance between the front tires is 4.7 ft. How much farther does the outer tire travel than the inner tire?

  4. Arc Length • Arc measure is measured in degrees, arc length is measured ft, cm, m, etc… • Arc length – a fraction of a circumference • Formula:

  5. EX 2: Calculate the length of the red arc

  6. EOC Level Question on Arc Length Allison created an embroidery design. The perimeter of the design is made by alternating semicircle and quarter-circle arcs. Each arc is formed from a circle with a 4-inch diameter. There are 4 semicircle and 4 quarter- circle arcs. To the nearest whole inch, what is the perimeter of Allison’s design?

  7. 10-6 part 2 Assignment: Write in Progress Tracker Heading: 10-6 part 2 pg 684 #9, 11, 14, 16c, 17, 18 • Due Thursday for periods 1, 5, & 7 • Due Friday for period 2

  8. 10 – 7: Area of Circles and Sectors Learning goal: Calculate the area of circles and sectors

  9. Area formulas • Area of a circle = r2 • A sector is a fraction of the circle’s area • Area of a sector = Central Angle Area of a circle 360

  10. EX 1: What is the area of sector GPH? • Leave answer in terms of .

  11. EX 2: What is the area of the circular region of the wrestling mat?

  12. EX 3: Real life Application Some farmers use a circular irrigation method. An arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 300ft?

  13. EX 4: Composites with Circles Calculate the area of the shaded region. Leave answer in terms of .

  14. Segments • Segment of a circle – a part of a circle bounded by an arc and a segment joining the arc’s endpoints.

  15. EX 5: Calculate the area of the segment to the nearest tenth.

  16. EOC Level Question on Sectors A satellite sends signals from space to the region that lies within the shaded portion of the Earth. If the radius of the Earth is approximately 6000km, what is the area of the part of the earth that receives signal? Use 3.14 for pi.

  17. 10-7 Assignment: Write in Progress Tracker Heading: 10-7 pg 692 #8, 12, 16, 18, 22, 23 • Due Thursday for periods 1, 5, and 7 • Due Friday for period 2 • Chapter 10 test is Thursday for periods 1 and 5, and Friday for periods 2 and 7

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