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Holt McDougal Geometry
12-3Sector Area and Arc Length9-3 Sector Area and Arc Length
Holt GeometryHolt McDougal Geometry
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Warm UpFind each measure.
1. RT
2. UQ
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Holt McDougal Geometry
12-3Sector Area and Arc Length
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
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Holt McDougal Geometry
12-3Sector Area and Arc Length
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Write the degree symbol after m in the formula to help you remember to use degree measure not arc length.
Helpful Hint
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find the area of each sector. Give answers in terms of and rounded to the nearest hundredth.
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find the area of each sector. Give answers in terms of and rounded to the nearest hundredth.
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth.
sector ACB
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find the area of each sector. Give your answer in terms of and rounded to the nearest hundredth.
sector JKL
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Holt McDougal Geometry
12-3Sector Area and Arc Length
A windshield wiper blade is 18 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 122°?
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Holt McDougal Geometry
12-3Sector Area and Arc Length
To the nearest square foot, what is the area watered in Example 2 (p. 765) as the sprinkler rotates through a semicircle?
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Holt McDougal Geometry
12-3Sector Area and Arc Length
A segment of a circle is a region bounded by an arc and its chord.
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find the area of segment LNM to the nearest hundredth.
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find the area of segment RST to the nearest hundredth.
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Holt McDougal Geometry
12-3Sector Area and Arc Length
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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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find each arc length. Give answers in terms of and rounded to the nearest hundredth.
FG
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find each arc length. Give answers in terms of and rounded to the nearest hundredth.
an arc with measure 62 in a circle with radius 2 m
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find each arc length. Give your answer in terms of and rounded to the nearest hundredth.
GH
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Find each arc length. Give your answer in terms of and rounded to the nearest hundredth.
an arc with measure 135° in a circle with radius 4 cm
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Lesson Quiz: Part I
Find each measure. Give answers in terms of and rounded to the nearest hundredth.
1. area of sector LQM
2. length of NP
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Holt McDougal Geometry
12-3Sector Area and Arc Length
Lesson Quiz: Part II
3. The gear of a grandfather clock has a radius of 3 in. To the nearest tenth of an inch, what distance does the gear cover when it rotates through an angle of 88°?
4. Find the area of segment GHJ to the nearest hundredth.