Post on 06-Mar-2018
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.
10.7 Areas of Circles Sectors and Segments
2
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).
1.
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
3
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
4
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
5
April 23, 2010
Apr 217:32 AM
10.7 Areas of Circles Sectors and Segments
6
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
7
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
8
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
9
April 23, 2010
Apr 217:56 AM
Area of a segment
10.7 Areas of Circles Sectors and Segments
10
April 23, 2010
Apr 217:59 AM
Find the area of segment AB.
10.7 Areas of Circles Sectors and Segments
11
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
12
April 23, 2010
Apr 218:04 AM
Challenge Problem
10 ft
8 ft
10.7 Areas of Circles Sectors and Segments
13
April 23, 2010
Apr 218:15 AM
Homework
p. 578 #7 19 odd, 22 27