10.7 areas of circles and sectors 2011 -...
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10.7 Areas of Circles and Sectors 2011
1
March 08, 2011
Feb 242:16 PM
Warmup1. FInd the circumference 2. Find the measure of Abc 3. Find the length of xy
( (
4.5
a
b
c101o7
112o
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10.7 Areas of Circles and Sectors 2011
2
March 08, 2011
Apr 218:04 AM
Challenge Problem
10 ft
8 ft
![Page 3: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/3.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 2012:26 PM
107: Areas of Circles, Sectors, and Segments.
Objective: Find the area of circles, sectors, and segments.
![Page 4: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/4.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 202:29 PM
RefresherHow do you find the circumference of a circle?
How do you find the area of a circle?
![Page 5: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/5.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 202:32 PM
New Vocabulary: SECTOR
A sector is a region bounded by two radii of a circle.
O
X
Y
The blue shaded region is called sector XOY.
How can we find the area of a sector if we know the measure of XOY ?
![Page 6: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/6.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 217:32 AM
![Page 7: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/7.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 217:37 AM
Find the area of sector ZOM.
A circle has a diameter of 20 cm. What is the area of a sector bounded by a 208o major arc?
![Page 8: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/8.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 217:45 AM
Segment of a circle.
New Vocabulary: SEGMENT
A part of a circle bounded by an arc and the segment joining its endpoints is a segment of a circle.
![Page 9: 10.7 Areas of Circles and Sectors 2011 - …staffweb.psdschools.org/kemotich/Mrs_Motichka/Geometry...10.7 Areas of Circles and Sectors 2011 5 March 08, 2011 Apr 20 2:32 PM New Vocabulary:](https://reader031.vdocument.in/reader031/viewer/2022020108/5b375ebb7f8b9a5a518c45a2/html5/thumbnails/9.jpg)
10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 217:51 AM
O
A
B
How do we find the area of segment AB given the measure of AOB and the radius ?
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10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 217:56 AM
Area of a segment
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10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 217:59 AM
Find the area of segment AB.
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10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 218:01 AM
A circle has a radius of 12 cm. Find the area of the smaller segment of the circle bounded by a 60o arc.
Practice
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10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Apr 218:15 AM
Homework
pg 577 # 1, 3, 719 even, 23, 26, 30
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10.7 Areas of Circles and Sectors 2011
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March 08, 2011
Mar 82:40 PM