ch 10 question: what special properties are found with the parts of a circle? todays question: how...
TRANSCRIPT
![Page 1: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/1.jpg)
Ch 10 Question: What special properties are found with the parts of a circle?
Today’s Question:How do we find segment lengths in circles?
![Page 2: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/2.jpg)
10.5Segment Lengths in
Circles
![Page 3: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/3.jpg)
Segment Lengths in Circles
Find the lengths of segments of chords
Find the lengths of segments of tangents and secants
![Page 4: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/4.jpg)
![Page 5: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/5.jpg)
Solve for x.Solve for x.
1212
99
xx
1818
![Page 6: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/6.jpg)
E A B
C
D
EA • EB = EC • EDoutside whole = outside whole
![Page 7: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/7.jpg)
EA
B
C
D
713
4
x
7 (7 + 13) 4(4 + x)=
Ex: 3 Solve for x.
140 = 16 + 4x124 = 4x
x = 31
![Page 8: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/8.jpg)
E
A
B
CD 8
5
6
x
6 (6 + 8) 5(5 + x)=
Ex: 4 Solve for x.
84 = 25 + 5x59 = 5x
![Page 9: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/9.jpg)
E
A
B C
EA2 = EB • ECoutside whole = outside whole
![Page 10: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/10.jpg)
E
A
B C
24
12 x
outside whole = outside whole 242 = 12 (12 + x)576 = 144 + 12x x = 36
Ex: 5 Solve for x.
![Page 11: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/11.jpg)
E
A
B
C
15
5
x
outside whole = outside whole x2 = 5 (5 + 15)
x2 = 100
x = 10
Ex: 6
![Page 12: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/12.jpg)
Solve for x.Solve for x.
1010
1
1
11
x
x
12
12
![Page 13: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/13.jpg)
• Find length of x.• Find the length of g.
3 x
7
5
15
8
g
![Page 14: Ch 10 Question: What special properties are found with the parts of a circle? Todays Question: How do we find segment lengths in circles?](https://reader035.vdocument.in/reader035/viewer/2022062618/5514dcb5550346935c8b541a/html5/thumbnails/14.jpg)
A little bit of everything!• Find the measures of the missing variables
9
k
10
8
a°r
60°
185°
Solve for k first.
Next solve for r
Lastly solve for ma