11.2 Area of Circles and Sectors with work 1 Core Concept How can you find the area of a sector of a circle? 11.2 Area of Circles and Sectors Mar 610:41 AM Example 1: Find each indicated measure. a. area of a circle with a radius of 8.5 inches b. diameter of a circle with an area of 153.94 square feet Practice: 1. Find the area of a circle with a radius of 4.5 meters. 2. Find the radius of a circle with an area of 176.7 square feet.
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11.2 Area of Circles and Sectors with work
1
Core Concept
How can you find the area of a sector of a circle?
11.2 Area of Circles and Sectors
Mar 610:41 AM
Example 1: Find each indicated measure.
a. area of a circle with a radius of 8.5 inches b. diameter of a circle with an area of 153.94 square feet
Practice:
1. Find the area of a circle with a radius of 4.5 meters.
2. Find the radius of a circle with an area of
176.7 square feet.
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11.2 Area of Circles and Sectors with work
2
a. About 124,000 people live in a 2mile radius of a city’s post office. Find the population density in people per square mile.
b. A region with a 10mile radius has a population density of about 869 people per square mile. Find the number of people who live in the region.
Example 2:
Mar 610:57 AM
Practice:
3. About 58,000 people live in a region with a 2mile radius. Find the population density in people per square mile.
4. A region with a 3mile radius has a population density of about 1000 people per square mile. Find the number of people who live in the region.
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11.2 Area of Circles and Sectors with work
3
Example 3: a. b.
Practice: Find the indicated measure.
5. area of red sector
6. area of blue sector
7. A rectangular wall has an entrance cut into it. You want to paint the wall. To the nearest square foot, what is the area of the region you need to paint?
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11.2 Area of Circles and Sectors with work
4
Feb 156:24 PM
Example 4: Find the area of each shaded region.
5 in
a) b)
Feb 151:41 PM
16
Answer: 100.5 mm2
Practice 8: Find the shaded area. Give exact answers AND approximations.
mm
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11.2 Area of Circles and Sectors with work
5
Mar 611:02 AM
HW: p. 606
A: 19, 21, 27, 29, 31, 35, 37, 42 45
B: 1, 3, 7, 9, 13, 17, 19, 21, 27, 29, 31, 42 45
C: 1 31 (o), 42 45
ANSWERS:
42. 54 in.2
44. 58.5 in.2
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Attachments
Area of a circle.gsp
SMART Notebook
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