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Geometry Sector Area and Arc Length

Geometry Sector Area and Arc Length. Warm Up. Find the indicated measure. Sector Area and arc length. The area of a circle is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures, multiply

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Geometry Sector Area and Arc Length

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  1. GeometrySector Area and Arc Length CONFIDENTIAL

  2. Warm Up Find the indicated measure. CONFIDENTIAL

  3. Sector Area and arc length The area of a circle is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures, multiply the area of a circle by . CONFIDENTIAL

  4. Sector of a circle CONFIDENTIAL

  5. Finding the Area of the Sector Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth. A) sector MPN CONFIDENTIAL

  6. B) sector EFG CONFIDENTIAL

  7. Now You Try! Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth. 2) sector JKL 1) sector ACB CONFIDENTIAL

  8. A circular plot with a 720 ft diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through an angle of 50 ? CONFIDENTIAL

  9. Now You Try! 2) To the nearest square foot, what is the area watered in previous example as the sprinkler rotates through a semicircle ? CONFIDENTIAL

  10. A segment of a circle is a region bounded by an arc and its chord. The shaded region in the figure is a segment CONFIDENTIAL

  11. Area of a segment = - - area of sector area of triangle = area of segment CONFIDENTIAL

  12. Finding the Area of a Segment Find the area of segment ACB to the nearest hundredth. CONFIDENTIAL

  13. CONFIDENTIAL

  14. Now You Try! 3) Find the area of segment RST to the nearest hundredth. CONFIDENTIAL

  15. In the same way that the area of a sector is a fraction of the area of the circle ,the length of an arc is a fraction of the circumference of the circle. CONFIDENTIAL

  16. Arc Length CONFIDENTIAL

  17. Finding Arc Length Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. CONFIDENTIAL

  18. CONFIDENTIAL

  19. Now You Try! Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. CONFIDENTIAL

  20. Now some problems for you to practice. CONFIDENTIAL

  21. ASSESSMENT Find the area of each segment to the nearest hundredth. 1) CONFIDENTIAL

  22. 2) CONFIDENTIAL

  23. 3) CONFIDENTIAL

  24. Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. 4) CONFIDENTIAL

  25. 5) CONFIDENTIAL

  26. REVIEW Sector Area and arc length The area of a circle is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures, multiply the area of a circle by . CONFIDENTIAL

  27. Sector of a circle CONFIDENTIAL

  28. Finding the Area of the Sector Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth. A) sector MPN CONFIDENTIAL

  29. B) sector EFG CONFIDENTIAL

  30. A circular plot with a 720 ft diameter is watered by a spray irrigation system. To the nearest square foot, what is the area that is watered as the sprinkler rotates through an angle of 50 ? CONFIDENTIAL

  31. A segment of a circle is a region bounded by an arc and its chord. The shaded region in the figure is a segment CONFIDENTIAL

  32. Area of a segment = - - area of sector area of triangle = area of segment CONFIDENTIAL

  33. Finding the Area of a Segment Find the area of segment ACB to the nearest hundredth. CONFIDENTIAL

  34. CONFIDENTIAL

  35. Arc Length CONFIDENTIAL

  36. Finding Arc Length Find each arc length. Give your answer in terms of and rounded to the nearest hundredth. CONFIDENTIAL

  37. You did a great job today! CONFIDENTIAL

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