107: Areas of Circles, Sectors, and Segments....10.7 Areas of Circles Sectors and Segments 2 April...
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10.7 Areas of Circles Sectors and Segments 1 April 23, 2010 Apr 2012:26 PM 107: Areas of Circles, Sectors, and Segments. Objective: Find the area of circles, sectors, and segments.
Transcript of 107: Areas of Circles, Sectors, and Segments....10.7 Areas of Circles Sectors and Segments 2 April...
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 2012:26 PM
107: Areas of Circles, Sectors, and Segments.
Objective: Find the area of circles, sectors, and segments.
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 2012:28 PM
Warmup
In one revolution, how much further does a 29 in. mountain bike tire travel than a 26 in. mountain bike tire? (tires are measured by their diameter).
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2. Over 1000 ft, how many more revolutions would the 26 in. tire make than the 29 in tire.
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 202:29 PM
RefresherHow do you find the circumference of a circle?
How do you find the area of a circle?
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
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 ?
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 217:32 AM
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
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?
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
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.
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 217:51 AM
O
A
B
How do we find the area of segment AB given the measure of AOB and the radius ?
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 217:56 AM
Area of a segment
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April 23, 2010
Apr 217:59 AM
Find the area of segment AB.
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April 23, 2010
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
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 218:04 AM
Challenge Problem
10 ft
8 ft
10.7 Areas of Circles Sectors and Segments
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April 23, 2010
Apr 218:15 AM
Homework
p. 578 #7 19 odd, 22 27
