bellwork
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No Clickers. Bellwork. What is the arc length of an arc that travels through 50 o of a circle with radius 15 units? Three consecutive numbers have a sum of 144 and a product of 110544. What are the three numbers?. 14. Bellwork. - PowerPoint PPT PresentationTRANSCRIPT
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BellworkWhat is the arc length of an arc that travels through 50o of a circle with radius 15 units?Three consecutive numbers have a sum of 144 and a product of 110544. What are the three numbers?
14
No Clickers
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BellworkWhat is the arc length of an arc that travels through 50o of a circle with radius 15 units?
14
13.10units
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BellworkThree consecutive numbers have a sum of 144 and a product of 110544. What are the three numbers?
14
47,48, 49
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Areas of Circles and Sectors
Section 11.5
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The Concept Yesterday we talked about arc length, or the measure of a
portion of a circle Today we’re going to talk about how we find the area of a
portion of a circle.
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Area of a CircleWe’ve already seen the area of a circle, which is given by the
formulaTheorem 11.9
A=πr2
r
Don’t forget our discussion
on when to use π
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SectorsA sector is a piece of a circle that has a distinct area that can be
determined in a similar way to that of arc length
r
θ
2sec 360torA r
This is the amount of the circle that the
arc travels through
This is the area of circle
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SectorsWhat is the area of the sector shown below
15
60
2sec 360
torA r
26015
360 Arc
2
1225
6
117.81
Arc
Arc units
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On your OwnWhat is the area of the sector shown below
22
1102464.61units
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On your ownWhat is the area of the sector shown below
10
200
2174.53units
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On your ownWhat is the area of the sector shown below
11.595o
2176.6units
112o
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On your ownGiven the arc lengths, what is the measure of the Area of the
sector (shown in green) below?
15
31.42 u
2333units
18.33 u
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Practical ExamplePizza from Domino’s comes as a 16” cut into 8 slices. A Extra
Large pizza from D’Bronx comes as a 30” pizza cut into 12 slices. What is the ratio of the areas of a Domino’s slice to a D’Bronx slice?
8 8 4 3275 75 754
28Dominoes : 8
8
215 75D'Bronx :
12 4
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Most Important Points• How to figure the area of a sector
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Homework
11.5 Exercises1, 2-32 even, 37, 38