1. Geometry Sector Area and Arc Length
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2. Find the indicated measure.
Warm Up
Find the indicated measure.
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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
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4. Sector of a circle TERM NAME DIAGRAM AREA
A sector of a circle is a region bounded by two radii of the circle and their intercepted arc.
sector ACB
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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
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6. B) sector EFG
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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
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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 ?
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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 ?
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10. A segment of a circle is a region bounded by an arc and its chord
A segment of a circle is a region bounded by an arc and its chord. The shaded region in the figure is a segment
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11. Area of a segment = - = area of sector - area of triangle
area of segment
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12. Finding the Area of a Segment
Find the area of segment ACB to the nearest hundredth.
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14. 3) Find the area of segment RST to the nearest hundredth.
Now You Try!
3) Find the area of segment RST to the nearest hundredth.
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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.
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16. Arc Length TERM DIAGRAM LENGTH Arc length is the distance
along an arc measured in linear units.
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17. Finding Arc Length
Find each arc length. Give your answer in terms of and rounded to the nearest hundredth.
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18. CONFIDENTIAL

19. Now You Try!
Find each arc length. Give your answer in terms of and rounded to the nearest hundredth.
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20. Now some problems for you to practice.
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21. Find the area of each segment to the nearest hundredth.
ASSESSMENT
Find the area of each segment to the nearest hundredth. 1)
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22. 2)
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23. 3)
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24. Find each arc length. Give your answer in terms of and rounded to the nearest hundredth.4)
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25. 5)
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26. Sector Area and arc length
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
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27. Sector of a circle TERM NAME DIAGRAM AREA
A sector of a circle is a region bounded by two radii of the circle and their intercepted arc.
sector ACB
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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
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29. B) sector EFG
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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 ?
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31. A segment of a circle is a region bounded by an arc and its chord
A segment of a circle is a region bounded by an arc and its chord. The shaded region in the figure is a segment
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32. Area of a segment = - = area of sector - area of triangle
area of segment
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33. Finding the Area of a Segment
Find the area of segment ACB to the nearest hundredth.
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35. Arc Length TERM DIAGRAM LENGTH Arc length is the distance
along an arc measured in linear units.
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36. Finding Arc Length
Find each arc length. Give your answer in terms of and rounded to the nearest hundredth.
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37. You did a great job today!
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