Concept. Example 1 Find Measures of Central Angles Find the value of x.
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Transcript of Concept. Example 1 Find Measures of Central Angles Find the value of x.
![Page 1: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/1.jpg)
![Page 2: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/2.jpg)
Find Measures of Central Angles
Find the value of x.
![Page 3: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/3.jpg)
Find Measures of Central Angles
Substitution
Simplify.
Add 2 to each side.
Divide each side by 26.
The sum of the measures of
Answer: x = 7
![Page 4: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/4.jpg)
A. 9
B. 10
C. 11
D. 65
Find the value of x.
![Page 5: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/5.jpg)
![Page 6: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/6.jpg)
Classify Arcs and Find Arc Measures
Answer:
![Page 7: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/7.jpg)
Classify Arcs and Find Arc Measures
![Page 8: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/8.jpg)
Classify Arcs and Find Arc Measures
Answer:
![Page 9: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/9.jpg)
Classify Arcs and Find Arc Measures
Answer:
![Page 10: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/10.jpg)
![Page 11: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/11.jpg)
Find Arc Measures in Circle Graphs
mLPK = 0.21(360) Find 21% of 360.
= 75.6 Simplify.
Answer:
![Page 12: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/12.jpg)
Find Arc Measures in Circle Graphs
![Page 13: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/13.jpg)
Find Arc Measures in Circle Graphs
Sum of arcs in a circle is 360.
Substitution
Simplify.
Simplify.
Answer:
![Page 14: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/14.jpg)
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Use Arc Addition to Find Measures of Arcs
.
![Page 16: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/16.jpg)
Use Arc Addition to Find Measures of Arcs
Arc Addition Postulate
Substitution= 58 + 32
= 90
Answer:
![Page 17: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/17.jpg)
Use Arc Addition to Find Measures of Arcs
![Page 18: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/18.jpg)
Use Arc Addition to Find Measures of Arcs
Arc Addition Postulate
Substitution= 90 + 58
= mIMJ + mJMK
= 148
Answer:
![Page 19: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/19.jpg)
![Page 20: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/20.jpg)
Find Arc Length
Arc Length Equation
Substitution
Answer:
Use a calculator.cm
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Find Arc Length
Arc Length Equation
Substitution
Use a calculator.
Answer:
![Page 22: Concept. Example 1 Find Measures of Central Angles Find the value of x.](https://reader030.fdocuments.net/reader030/viewer/2022032605/56649e725503460f94b70904/html5/thumbnails/22.jpg)
Find Arc Length
Arc Length Equation
Substitution
Use a calculator.
Answer: