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Chapter 11

Chapter 11. Section 3 and 4. Objectives. Find the area of sectors. Find arc lengths. The area of a sector is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures m °, multiply the area of the circle by. Example.

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Chapter 11

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  1. Chapter 11 Section 3 and 4

  2. Objectives Find the area of sectors. Find arc lengths.

  3. The area of a sector is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures m°, multiply the area of the circle by

  4. Example Find the area of each sector. Give answers in terms of and rounded to the nearest hundredth.

  5. A segment of a circle is a region bounded by an arc and its chord.

  6. Example Find the area of segment LNM to the nearest hundredth.

  7. 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.

  8. Example Find each arc length. Give answers in terms of  and rounded to the nearest hundredth.

  9. Objectives Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems.

  10. An inscribed angleis an angle whose vertex is on a circle and whose sides contain chords of the circle. An intercepted arcconsists of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them. A chord or arc subtendsan angle if its endpoints lie on the sides of the angle.

  11. Example Find each measure. mPRU

  12. Example Find each measure.

  13. Find mABD and mBC in the string art. Example

  14. Example Find a.

  15. Example Find mEDF.

  16. Example Find the angle measures of GHJK.

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